﻿18:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potenciación y radicación :@0.286308:0.063945:0.738060:0.063945:0.738060:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números racionales. Propiedades:@0.286308:0.094120:0.915045:0.094120:0.915045:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Base:@0.419478:0.838334:0.453317:0.838334:0.453317:0.822970:0.419478:0.822970:0.000000:0.000000:0.000000:0.000000
Exponente:@0.539709:0.838334:0.618010:0.838334:0.618010:0.822970:0.539709:0.822970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Signo de la potencia:@0.665905:0.838334:0.812621:0.838334:0.812621:0.822970:0.665905:0.822970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Positiva:@0.411152:0.865065:0.461643:0.865065:0.461643:0.850166:0.411152:0.850166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Par:@0.568624:0.856150:0.589079:0.856150:0.589079:0.841251:0.568624:0.841251:0.000000:0.000000:0.000000
Positiva:@0.714001:0.865065:0.764493:0.865065:0.764493:0.850166:0.714001:0.850166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Impar:@0.559193:0.873979:0.598494:0.873979:0.598494:0.859080:0.559193:0.859080:0.000000:0.000000:0.000000:0.000000:0.000000
Negativa:@0.406695:0.901023:0.466083:0.901023:0.466083:0.886124:0.406695:0.886124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Par:@0.568624:0.892109:0.589079:0.892109:0.589079:0.877210:0.568624:0.877210:0.000000:0.000000:0.000000
Positiva:@0.714001:0.892109:0.764493:0.892109:0.764493:0.877210:0.714001:0.877210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Impar:@0.559193:0.910239:0.598494:0.910239:0.598494:0.895340:0.559193:0.895340:0.000000:0.000000:0.000000:0.000000:0.000000
Negativa:@0.709545:0.910239:0.768933:0.910239:0.768933:0.895340:0.709545:0.895340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En ingeniería, la potencianción y radicación se aplica en el diseño y análisis de es-:@0.287495:0.153866:0.903622:0.153866:0.903622:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tructuras y resistencias de materiales.:@0.287495:0.170462:0.558155:0.170462:0.558155:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un troquel, como el de la figura, es una herramienta de corte utilizada para elaborar :@0.287495:0.194181:0.907711:0.194181:0.907711:0.177792:0.287495:0.177792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impresiones tipográficas. Determinemos su volumen.:@0.287495:0.210778:0.677529:0.210778:0.677529:0.194389:0.287495:0.194389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ser el troquel de forma cúbica, su volumen se calcula con la fórmula::@0.287495:0.234497:0.814852:0.234497:0.814852:0.218108:0.287495:0.218108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V = a:@0.287495:0.258216:0.323503:0.258216:0.323503:0.241854:0.287495:0.241854:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.323501:0.252185:0.328465:0.252185:0.328465:0.242646:0.323501:0.242646:0.000000
 , donde   = volumen y  = arista del cubo.:@0.328465:0.258232:0.640517:0.258232:0.640517:0.241843:0.328465:0.241843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.392446:0.258232:0.401568:0.258232:0.401568:0.241871:0.392446:0.241871:0.000000
 a:@0.498368:0.258232:0.510954:0.258232:0.510954:0.241871:0.498368:0.241871:0.000000:0.000000
V:@0.293360:0.293389:0.302482:0.293389:0.302482:0.277996:0.293360:0.277996:0.000000
=:@0.307808:0.293983:0.317924:0.293983:0.317924:0.275962:0.307808:0.275962:0.000000
3:@0.333035:0.284510:0.342028:0.284510:0.342028:0.268840:0.333035:0.268840:0.000000
4:@0.332832:0.303844:0.341825:0.303844:0.341825:0.288175:0.332832:0.288175:0.000000
⎛ ⎞:@0.321109:0.286276:0.351275:0.286290:0.351275:0.268269:0.321109:0.268255:0.000000:0.000000:0.000000
⎝ ⎠:@0.321109:0.302859:0.351275:0.302872:0.351275:0.284852:0.321109:0.284838:0.000000:0.000000:0.000000
⎜ ⎟:@0.321109:0.297050:0.351275:0.297064:0.351275:0.279043:0.321109:0.279029:0.000000:0.000000:0.000000
3:@0.353671:0.275112:0.358882:0.275112:0.358882:0.266031:0.353671:0.266031:0.000000
=:@0.363303:0.293977:0.373420:0.293977:0.373420:0.275956:0.363303:0.275956:0.000000
3:@0.388531:0.284503:0.397523:0.284503:0.397523:0.268834:0.388531:0.268834:0.000000
4:@0.388328:0.303838:0.397321:0.303838:0.397321:0.288168:0.388328:0.288168:0.000000
⎛ ⎞ ⎛ ⎞ ⎛ ⎞:@0.376601:0.286276:0.473149:0.286290:0.473149:0.268269:0.376601:0.268255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎝ ⎠ ⎝ ⎠ ⎝ ⎠:@0.376601:0.302859:0.473149:0.302872:0.473149:0.284852:0.376601:0.284838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎜ ⎟ ⎜ ⎟ ⎜ ⎟:@0.376601:0.297050:0.473149:0.297064:0.473149:0.279043:0.376601:0.279029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.421731:0.284520:0.430723:0.284520:0.430723:0.268850:0.421731:0.268850:0.000000
4:@0.421528:0.303854:0.430521:0.303854:0.430521:0.288185:0.421528:0.288185:0.000000
3:@0.454921:0.284520:0.463913:0.284520:0.463913:0.268850:0.454921:0.268850:0.000000
4:@0.454718:0.303854:0.463711:0.303854:0.463711:0.288185:0.454718:0.288185:0.000000
=:@0.478216:0.293993:0.488333:0.293993:0.488333:0.275973:0.478216:0.275973:0.000000
27:@0.493346:0.284520:0.511128:0.284520:0.511128:0.268850:0.493346:0.268850:0.000000:0.000000
64:@0.493346:0.303854:0.511128:0.303854:0.511128:0.288185:0.493346:0.288185:0.000000:0.000000
Por lo tanto, el volumen del troquel es :@0.287495:0.350528:0.570172:0.350528:0.570172:0.334139:0.287495:0.334139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.594175:0.349168:0.612677:0.349168:0.612677:0.335352:0.594175:0.335352:0.000000:0.000000
27:@0.572171:0.341612:0.587188:0.341612:0.587188:0.327772:0.572171:0.327772:0.000000:0.000000
64:@0.572171:0.358032:0.587188:0.358032:0.587188:0.344193:0.572171:0.344193:0.000000:0.000000
3:@0.612874:0.342706:0.617275:0.342706:0.617275:0.334685:0.612874:0.334685:0.000000
.:@0.619525:0.350528:0.622731:0.350528:0.622731:0.334139:0.619525:0.334139:0.000000
La potenciación es una operación que corresponde a una multiplicación :@0.296992:0.401244:0.878753:0.401244:0.878753:0.384855:0.296992:0.384855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de factores iguales.:@0.296992:0.417840:0.436819:0.417840:0.436819:0.401451:0.296992:0.401451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la potenciación de números racionales:@0.287495:0.466911:0.838220:0.466911:0.838220:0.445401:0.287495:0.445401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  /   y  /   dos números racionales  y :@0.287495:0.489692:0.615423:0.489692:0.615423:0.473303:0.287495:0.473303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.331537:0.489692:0.356544:0.489692:0.356544:0.473331:0.331537:0.473331:0.000000:0.000000:0.000000
c d:@0.381080:0.489692:0.404483:0.489692:0.404483:0.473331:0.381080:0.473331:0.000000:0.000000:0.000000
m n:@0.619580:0.489692:0.655145:0.489692:0.655145:0.473331:0.619580:0.473331:0.000000:0.000000:0.000000
,    dos números  enteros  positivos.:@0.634211:0.489692:0.903670:0.489692:0.903670:0.473303:0.634211:0.473303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se verifican las siguientes propiedades::@0.287514:0.506289:0.572272:0.506289:0.572272:0.489900:0.287514:0.489900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades:@0.381563:0.536471:0.472328:0.536471:0.472328:0.521107:0.381563:0.521107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.659084:0.536471:0.809519:0.536471:0.809519:0.521107:0.659084:0.521107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de potencias :@0.295037:0.562900:0.449828:0.562900:0.449828:0.548001:0.295037:0.548001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de bases iguales:@0.295037:0.577988:0.404129:0.577988:0.404129:0.563089:0.295037:0.563089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.615214:0.561436:0.623556:0.561436:0.623556:0.547583:0.615214:0.547583:0.000000
b:@0.615214:0.578838:0.623556:0.578838:0.623556:0.564984:0.615214:0.564984:0.000000
m:@0.634149:0.552985:0.641781:0.552985:0.641781:0.544956:0.634149:0.544956:0.000000
a:@0.654408:0.561436:0.662750:0.561436:0.662750:0.547583:0.654408:0.547583:0.000000
b:@0.654226:0.578838:0.662568:0.578838:0.662568:0.564984:0.654226:0.564984:0.000000
n:@0.673350:0.552985:0.678310:0.552985:0.678310:0.544956:0.673350:0.544956:0.000000
=:@0.682396:0.570038:0.691501:0.570038:0.691501:0.556022:0.682396:0.556022:0.000000
a:@0.704587:0.561437:0.712929:0.561437:0.712929:0.547583:0.704587:0.547583:0.000000
b:@0.704404:0.578838:0.712747:0.578838:0.712747:0.564984:0.704404:0.564984:0.000000
m n:@0.722302:0.552985:0.742573:0.552985:0.742573:0.544956:0.722302:0.544956:0.000000:0.000000:0.000000
+:@0.730972:0.553339:0.736249:0.553339:0.736249:0.545216:0.730972:0.545216:0.000000
Cociente de potencias :@0.295036:0.609238:0.448084:0.609238:0.448084:0.594339:0.295036:0.594339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de bases iguales:@0.295036:0.624325:0.404127:0.624325:0.404127:0.609426:0.295036:0.609426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.605253:0.607866:0.613595:0.607866:0.613595:0.593141:0.605253:0.593141:0.000000
b:@0.605071:0.625267:0.613413:0.625267:0.613413:0.610542:0.605071:0.610542:0.000000
m:@0.624006:0.599415:0.631638:0.599415:0.631638:0.590881:0.624006:0.590881:0.000000
÷:@0.635548:0.616467:0.644653:0.616467:0.644653:0.602452:0.635548:0.602452:0.000000
a:@0.661354:0.607866:0.669697:0.607866:0.669697:0.593141:0.661354:0.593141:0.000000
b:@0.661172:0.625268:0.669514:0.625268:0.669514:0.610542:0.661172:0.610542:0.000000
n:@0.680296:0.599415:0.685255:0.599415:0.685255:0.590881:0.680296:0.590881:0.000000
=:@0.689342:0.616467:0.698447:0.616467:0.698447:0.602452:0.689342:0.602452:0.000000
a:@0.711532:0.607866:0.719875:0.607866:0.719875:0.593141:0.711532:0.593141:0.000000
b:@0.711350:0.625268:0.719692:0.625268:0.719692:0.610542:0.711350:0.610542:0.000000
m n:@0.730285:0.599415:0.748484:0.599415:0.748484:0.590881:0.730285:0.590881:0.000000:0.000000:0.000000
Distributiva respecto de la :@0.295036:0.655569:0.463866:0.655569:0.463866:0.640670:0.295036:0.640670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación de números racionales :@0.295036:0.670657:0.536890:0.670657:0.536890:0.655758:0.295036:0.655758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c:@0.609364:0.654677:0.635110:0.654677:0.635110:0.640823:0.609364:0.640823:0.000000:0.000000:0.000000
b d:@0.609182:0.672078:0.635657:0.672078:0.635657:0.658224:0.609182:0.658224:0.000000:0.000000:0.000000
n:@0.646962:0.646226:0.651921:0.646226:0.651921:0.638197:0.646962:0.638197:0.000000
=:@0.656008:0.663278:0.665113:0.663278:0.665113:0.649262:0.656008:0.649262:0.000000
a:@0.678199:0.654677:0.686541:0.654677:0.686541:0.640823:0.678199:0.640823:0.000000
b:@0.678016:0.672078:0.686358:0.672078:0.686358:0.658224:0.678016:0.658224:0.000000
n:@0.697142:0.646226:0.702101:0.646226:0.702101:0.638197:0.697142:0.638197:0.000000
c:@0.721029:0.654677:0.727928:0.654677:0.727928:0.640823:0.721029:0.640823:0.000000
d:@0.720133:0.672078:0.728476:0.672078:0.728476:0.658224:0.720133:0.658224:0.000000
n:@0.739782:0.646226:0.744741:0.646226:0.744741:0.638197:0.739782:0.638197:0.000000
Distributiva respecto de la:@0.295036:0.701902:0.468905:0.701902:0.468905:0.687003:0.295036:0.687003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
división de números racionales:@0.295036:0.716990:0.501189:0.716990:0.501189:0.702091:0.295036:0.702091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.604844:0.700628:0.613187:0.700628:0.613187:0.686775:0.604844:0.686775:0.000000
b:@0.604662:0.718030:0.613004:0.718030:0.613004:0.704176:0.604662:0.704176:0.000000
÷:@0.617095:0.709156:0.626201:0.709156:0.626201:0.692938:0.617095:0.692938:0.000000
c:@0.630944:0.700630:0.637843:0.700630:0.637843:0.686776:0.630944:0.686776:0.000000
d:@0.630048:0.718031:0.638390:0.718031:0.638390:0.704177:0.630048:0.704177:0.000000
⎛:@0.594620:0.702225:0.600989:0.702225:0.600989:0.686006:0.594620:0.686006:0.000000
⎝:@0.594620:0.717149:0.600989:0.717149:0.600989:0.700930:0.594620:0.700930:0.000000
⎜:@0.594620:0.711921:0.600989:0.711921:0.600989:0.695702:0.594620:0.695702:0.000000
⎞:@0.640975:0.702237:0.647344:0.702237:0.647344:0.686018:0.640975:0.686018:0.000000
⎠:@0.640975:0.717162:0.647344:0.717162:0.647344:0.700943:0.640975:0.700943:0.000000
⎟:@0.640975:0.711934:0.647344:0.711934:0.647344:0.695715:0.640975:0.695715:0.000000
n:@0.649699:0.692177:0.654659:0.692177:0.654659:0.684148:0.649699:0.684148:0.000000
=:@0.658745:0.709156:0.667850:0.709156:0.667850:0.692938:0.658745:0.692938:0.000000
a:@0.680936:0.700630:0.689278:0.700630:0.689278:0.686776:0.680936:0.686776:0.000000
b:@0.680753:0.718031:0.689096:0.718031:0.689096:0.704177:0.680753:0.704177:0.000000
⎛ ⎞:@0.670713:0.702225:0.697531:0.702237:0.697531:0.686018:0.670713:0.686006:0.000000:0.000000:0.000000
⎝ ⎠:@0.670713:0.717149:0.697531:0.717162:0.697531:0.700943:0.670713:0.700930:0.000000:0.000000:0.000000
⎜ ⎟:@0.670713:0.711921:0.697531:0.711934:0.697531:0.695715:0.670713:0.695702:0.000000:0.000000:0.000000
n:@0.699877:0.692177:0.704837:0.692177:0.704837:0.684148:0.699877:0.684148:0.000000
÷:@0.708594:0.709156:0.717699:0.709156:0.717699:0.692938:0.708594:0.692938:0.000000
c:@0.731016:0.700630:0.737916:0.700630:0.737916:0.686776:0.731016:0.686776:0.000000
d:@0.730121:0.718031:0.738463:0.718031:0.738463:0.704177:0.730121:0.704177:0.000000
⎛ ⎞:@0.719902:0.702225:0.747432:0.702237:0.747432:0.686018:0.719902:0.686006:0.000000:0.000000:0.000000
⎝ ⎠:@0.719902:0.717149:0.747432:0.717162:0.747432:0.700943:0.719902:0.700930:0.000000:0.000000:0.000000
⎜ ⎟:@0.719902:0.711921:0.747432:0.711934:0.747432:0.695715:0.719902:0.695702:0.000000:0.000000:0.000000
n:@0.749774:0.692177:0.754734:0.692177:0.754734:0.684148:0.749774:0.684148:0.000000
Potencia de una potencia:@0.295036:0.748234:0.465322:0.748234:0.465322:0.733335:0.295036:0.733335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números racionales:@0.295036:0.763321:0.446191:0.763321:0.446191:0.748422:0.295036:0.748422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.631725:0.747336:0.640068:0.747336:0.640068:0.733482:0.631725:0.733482:0.000000
b:@0.631543:0.764737:0.639885:0.764737:0.639885:0.750883:0.631543:0.750883:0.000000
n:@0.650666:0.738884:0.655625:0.738884:0.655625:0.730855:0.650666:0.730855:0.000000
m:@0.666214:0.735666:0.673845:0.735666:0.673845:0.727637:0.666214:0.727637:0.000000
=:@0.678088:0.755937:0.687193:0.755937:0.687193:0.741922:0.678088:0.741922:0.000000
a:@0.700278:0.747336:0.708620:0.747336:0.708620:0.733482:0.700278:0.733482:0.000000
b:@0.700096:0.764737:0.708438:0.764737:0.708438:0.750884:0.700096:0.750884:0.000000
n m:@0.718191:0.738884:0.734660:0.738884:0.734660:0.730855:0.718191:0.730855:0.000000:0.000000:0.000000
Signos en la potenciación:@0.287495:0.816088:0.545644:0.816088:0.545644:0.794578:0.287495:0.794578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e impresión:@0.070551:0.187882:0.244757:0.187882:0.244757:0.172518:0.070551:0.172518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La tipografía es el sistema :@0.074538:0.206528:0.248424:0.206528:0.248424:0.191629:0.074538:0.191629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la imprenta tradicional :@0.073884:0.221616:0.248426:0.221616:0.248426:0.206717:0.073884:0.206717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tipos móviles, :@0.132819:0.236703:0.248426:0.236703:0.248426:0.221804:0.132819:0.221804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inventado por Johannes :@0.082964:0.251791:0.248426:0.251791:0.248426:0.236892:0.082964:0.236892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gutenberg. Esta forma de :@0.074755:0.266878:0.248426:0.266878:0.248426:0.251979:0.074755:0.251979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impresión fue superada :@0.087236:0.281966:0.248427:0.281966:0.248427:0.267067:0.087236:0.267067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la impresión :@0.094892:0.297054:0.207148:0.297054:0.207148:0.282155:0.094892:0.282155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
offset:@0.207148:0.297054:0.241842:0.297054:0.241842:0.282180:0.207148:0.282180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.241842:0.297054:0.248426:0.297054:0.248426:0.282155:0.241842:0.282155:0.000000:0.000000
 3:@0.093433:0.410879:0.100620:0.410879:0.100620:0.401936:0.093433:0.401936:0.000000:0.000000
—:@0.093433:0.414599:0.103347:0.414599:0.103347:0.405656:0.093433:0.405656:0.000000
 cm:@0.103347:0.414599:0.118057:0.414599:0.118057:0.405782:0.103347:0.405782:0.000000:0.000000:0.000000
 4:@0.093433:0.419807:0.100620:0.419807:0.100620:0.410864:0.093433:0.410864:0.000000:0.000000
 3:@0.206908:0.404436:0.214095:0.404436:0.214095:0.395493:0.206908:0.395493:0.000000:0.000000
— :@0.206908:0.408156:0.218923:0.408156:0.218923:0.399213:0.206908:0.399213:0.000000:0.000000
cm:@0.218923:0.408156:0.231463:0.408156:0.231463:0.399340:0.218923:0.399340:0.000000:0.000000
 4:@0.206908:0.413364:0.214095:0.413364:0.214095:0.404421:0.206908:0.404421:0.000000:0.000000
 3:@0.217357:0.371514:0.224544:0.371514:0.224544:0.362571:0.217357:0.362571:0.000000:0.000000
— :@0.217357:0.375234:0.229371:0.375234:0.229371:0.366291:0.217357:0.366291:0.000000:0.000000
cm:@0.229371:0.375234:0.241911:0.375234:0.241911:0.366418:0.229371:0.366418:0.000000:0.000000
 4:@0.217357:0.380442:0.224544:0.380442:0.224544:0.371499:0.217357:0.371499:0.000000:0.000000
Troquel de acero:@0.140748:0.468998:0.242383:0.468998:0.242383:0.455589:0.140748:0.455589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.158724:0.247335:0.158724:0.247335:0.141824:0.090129:0.141824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.075336:0.400978:0.075336:0.395871:0.063254:0.395871:0.063254:0.400978:0.000000
Shutterstock:@0.075336:0.395871:0.075336:0.358153:0.063425:0.358153:0.063425:0.395871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los términos de la :@0.123354:0.574299:0.248425:0.574299:0.248425:0.559400:0.123354:0.559400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación son::@0.126252:0.589386:0.244758:0.589386:0.244758:0.574487:0.126252:0.574487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.098148:0.658558:0.119709:0.658558:0.119709:0.624757:0.098148:0.624757:0.000000
n:@0.119708:0.638920:0.131999:0.638920:0.131999:0.619213:0.119708:0.619213:0.000000
     :@0.131998:0.658558:0.184480:0.658558:0.184480:0.624757:0.131998:0.624757:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.147256:0.658558:0.169222:0.658558:0.169222:0.624757:0.147256:0.624757:0.000000
a:@0.184480:0.658558:0.203202:0.658558:0.203202:0.624757:0.184480:0.624757:0.000000
Exponente:@0.143316:0.613364:0.215752:0.613364:0.215752:0.598465:0.143316:0.598465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Potencia :@0.169533:0.687143:0.230847:0.687143:0.230847:0.672244:0.169533:0.672244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Base:@0.093310:0.687143:0.123749:0.687143:0.123749:0.672244:0.093310:0.672244:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.541856:0.223340:0.541856:0.223340:0.524956:0.115799:0.524956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los conocimientos :@0.118897:0.793835:0.248425:0.793835:0.248425:0.778936:0.118897:0.778936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
etnomatemáticos se :@0.108360:0.808922:0.248425:0.808922:0.248425:0.794023:0.108360:0.794023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan mediante :@0.116569:0.824010:0.248425:0.824010:0.248425:0.809111:0.116569:0.809111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
símbolos, que incluyen el :@0.076145:0.839098:0.248425:0.839098:0.248425:0.824199:0.076145:0.824199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso de expresiones en la :@0.081070:0.854185:0.248425:0.854185:0.248425:0.839286:0.081070:0.839286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propia lengua originaria.:@0.082260:0.869273:0.244756:0.869273:0.244756:0.854374:0.082260:0.854374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y escribe con tus :@0.097287:0.887919:0.247772:0.887919:0.247772:0.873045:0.097287:0.873045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
palabras el significado de :@0.084387:0.903006:0.247770:0.903006:0.247770:0.888132:0.084387:0.888132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
etnomatemática. :@0.133874:0.918094:0.247772:0.918094:0.247772:0.903220:0.133874:0.903220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101541:0.761393:0.237601:0.761393:0.237601:0.744492:0.101541:0.744492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.18. :@0.290067:0.961957:0.338404:0.961957:0.338404:0.951202:0.290067:0.951202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular potencias de números racionales con exponentes enteros (destreza desagregada).:@0.338404:0.961957:0.761004:0.961957:0.761004:0.951528:0.338404:0.951528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000