Answer
True.
Work Step by Step
It's true that $(-a)^n=-a^n$ if $n$ is odd and $a$ is a positive integer because:
$(-a)^n=(-1*a)^n=(-1)^n(a)^n=-1a^n=-a^n$
(we know that $(-1)^n=-1$ if $n$ is odd.)
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises - Page 29: 22
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