Question

(x^4/7^-8)^-7
A)x^-28*7^-56
B)x^28/7^56
C)x^28/7^-56

Answer 1

9514 1404 393

Answer:

A) x^-28*7^-56

Explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(ab)^c = (a^c)(b^c)

1/a^b = a^-b

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`\left((x^4)/(7^(-8))\right)^(-7)=(x^47^8)^(-7)=x^(4(-7))7^(8(-7))=\boxed{x^(-28)7^(-56)}`