Intermediate Algebra for College Students (7th Edition)

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: 13

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: $125^{\frac{2}{3}}=\sqrt[3]{125^2}=\sqrt [3] {(5^{3})^{2}}=5^{2}=25$
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