Simple Algebra Question!

Evaluate the exponential expression:
32^(-2/5)

I've tried everything, flipping it, dropping the negative outside, using the fifth root, not using roots at all. It still says it's wrong :(

Question

Simple Algebra Question!

Evaluate the exponential expression:
32^(-2/5)

I've tried everything, flipping it, dropping the negative outside, using the fifth root, not using roots at all. It still says it's wrong :(

cobaltthunder267 · Answer

The Answers that it's told me are wrong are:

4, -4, 1/2, -1/2, 1/5120, -1/5120

loser66 · Answer

hehehe... I failed for this question also!! I got 1/4

cobaltthunder267 · Answer

@Loser66 Yes! It worked. Would you mind explaining how you got it, please? =)

loser66 · Answer

$a^{-1}= \dfrac{1}{a}$ ok?

loser66 · Answer

then $32^{-2/5}=\dfrac{1}{32^{2/5}}$

loser66 · Answer

but $32=2^5$, then $\dfrac{1}{32^{2/5}}=\dfrac{1}{(2^5)^{2/5}}=\dfrac{1}{2^2}=\dfrac{1}{4}$

cobaltthunder267 · Answer

Oh! That makes tons more sense than the convoluted things I ended up trying. Thank you very much!