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 - Page 522: 110



Work Step by Step

Simplify. $(\sqrt [5]{{x^4y^2}})^{20}$ Since, $\sqrt[n] {p^m}=p^{\frac{m}{n}}$ Thus, $(\sqrt [5]{{x^4y^2}})^{20}=(x^4y^2)^{\frac{20}{5}}=(x^4y^2)^{4}$ or, $=(x^4)^{4}(y^2)^4$ or, $=x^{16}y^{8}$
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