SOLUTION: I have gotten all my questions right in the Lesson except for this one.I'm not sure why this one seems so hard to me, I'm not even sure how to start. Any help is greatly appreciate

Question 257246: I have gotten all my questions right in the Lesson except for this one.I'm not sure why this one seems so hard to me, I'm not even sure how to start. Any help is greatly appreciated.
The Problem: (-3125a5)^(2/5)
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(-3125a5)^(2/5)
=
=
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
So what did you try?
We can't tell you how you went wrong if we don't know what you tried.

Let's look at the exponent part

we have

and =25
but we have the -1 to deal with
and
and =1

so =1

=
=
or
I cannot decide for sure if (-1)^(2/5) actually = 1
but if you square the -1 you get 1
if you take the fifth root of 1 you get 1
if you take the fifth root of -1 you get -1
if you square that -1 you get 1
But some calculators come up with some weird numbers
Different calculators give different results.
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