College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 78: 20

Answer

$x^2y$

Work Step by Step

We use the rules of exponents and radicals to obtain: $\displaystyle \sqrt[5]{x^{10}y^5}=(x^{10}y^{5})^{1/5}=(x^{10})^{1/5}(y^{5})^{1/5}=x^2y^1=x^2y$
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