(x^-2)^3 (x^2)^4 on the bottom its x^15

I did this to get my answer (x)^-6 (x)^-8 /x^15 got x^-4 / x^15= x-14-(15)= -29
final answer is x^-29
IDK what I did wrong the computer saying its wrong! Help pleas

2 answers

Hmm. Watch those minus signs.

(x^-2)^3 (x^2)^4 = x^-6 * x^8 = x^2
x^2/x^15 = 1/x^13 = x^-13
so you have (x^-2)^3 (x^2)^4 / x^15
then

= (x^-6)(x^8)/x^15
= (x^2)(x^-15)
= x^(-13) or 1/x^13
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