Answer
$25$
Work Step by Step
RECALL:
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$
With $a=125$, $m=2$, and $n=3$, use the rule above to obtain:
$125^{\frac{2}{3}}=\sqrt[3]{125^2}=\sqrt [3] {(5^{3})^{2}}=5^{2}=25$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 521: 13
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