2 Answers

Chrismillah · Answer 1 · 2020-02-24T18:21:47+0000

Answer: First option.

Explanation:

We need to remember that:

$\sqrt[n]{a^n}=a$

$a^{(m)/(n)}=\sqrt[n]{a^m}$

And, according to the Power of a power property we know that:

(a^m)^n=a^((mn))

Knowing this, we can descompose 32 into its prime factors:

32=2*2*2*2*2=2^5

Then we can rewrite the expression as:

$=\sqrt[5]{(-32)^3}\\\\=\sqrt[5]{(-2^5)^3}$

Finally, simplifying the expression, we get:

$=\sqrt[5]{(-2)^(15)}\\\\=(-2)^3\\\\=-8$

This matches with the first option.

Please log in or register to add a comment.