Answer
$5x^3y^2$
Work Step by Step
$$(125x^9y^6)^\frac{1}{3}$$
When an exponential expression is raised to a power, multiply the exponents:
$$=\sqrt[3]{125}x^{(9\times \frac{1}{3})}y^{(6\times \frac{1}{3})}$$
$$=5x^3y^2$$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3 - Page 49: 98
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