Simplify: ${(6^6)^4 -: (6^7)^0 xx[(6^2)^3]^2}^2 -: {[(6^3)^5xx(6^2)^3]^3 : [(6^3)^3]^4}^2$ ?

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Answer 1 · 2016-04-26T16:20:20

$6^18$

${(6^6)^4-:(6^7)^0xx[(6^2)^3]^2}^2-:{[(6^3)^5xx(6^2)^3]^3-:[(6^3)^3]^4}^2$

= ${6^(24)-:6^0xx6^(12)}^2-:{[6^(15)xx6^6]^3-:[6^9]^4}^2$

= ${6^(24-0+12)}^2-:{[6^(15+6)]^3-:6^36}^2$

= ${6^(36)}^2-:{[6^(21)]^3-:6^36}^2$

= $6^(72)-:{6^(63)-:6^36}^2$

= $6^(72)-:{6^(63-36)}^2$

= $6^(72)-:{6^(27)}^2$

= $6^(72)-:6^(54)$

= $6^(72-54)$

= $6^18$

Simplify: {(6^6)^4 -: (6^7)^0 xx[(6^2)^3]^2}^2 -: {[(6^3)^5xx(6^2)^3]^3 : [(6^3)^3]^4}^2{(6^6)^4 -: (6^7)^0 xx[(6^2)^3]^2}^2 -: {[(6^3)^5xx(6^2)^3]^3 : [(6^3)^3]^4}^2?