College Algebra (6th Edition)

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: 98

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: $$=\sqrt[3]{125}x^{(9\times \frac{1}{3})}y^{(6\times \frac{1}{3})}$$ $$=5x^3y^2$$
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