Answer
$-25$
Work Step by Step
$-125^{\frac{2}{3}} = -\left(125^{\frac{1}{3}}\right)^2$
Note that:
$125^{\frac{1}{3}}=5$ since $5^3 = 125$
Thus,
$ -\left(125^{\frac{1}{3}}\right)^2=-(5)^2=-25$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 30
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