Question

Write (8a^-3)^2/3 in a simplest form.

a. a^2/4
b. 4a^2
c. 1/4a^2
d. none of these

Answer 1

`(8a^(-3))^(2)/(3)=(8 \cdot (1)/(a^3))^(2)/(3)=((8)/(a^3))^(2)/(3)=\sqrt[3]{((8)/(a^3))^2}=\sqrt[3]{(64)/(a^6)}=\frac{\sqrt[3]{64}}{\sqrt[3]{a^6}}=(4)/(a^2)`

It doesn't equal any of the answers A, B, C.
The answer is D.