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 :(

Answer 1

The Answers that it's told me are wrong are:

4, -4, 1/2, -1/2, 1/5120, -1/5120

Answer 2

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

Answer 3

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

Answer 4

\(a^{-1}= \dfrac{1}{a}\) ok?

Answer 5

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

Answer 6

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

Answer 7

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