Answer
$25$
Work Step by Step
RECALL:
$a^{\frac{m}{n}}=(\sqrt[n]{a})^m.$
Use the rule above with m=2 and n=3 to obtain
$(\sqrt[3]{125})^2
\\=(\sqrt[3]{5^3})^2
\\=5^2
\\=25.$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 46: 87
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