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 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set: 54

Answer

$y^3\sqrt[5]{y^3}$

Work Step by Step

RECALL: $\sqrt[n]{a^n}=a$ Factor the radicand (expression inside the radical sign) so that at least one factor is a perfect fifth power, and then use the rule above to simplify and obtain: $=\sqrt[5]{y^{15} \cdot y^3} \\=\sqrt[5]{(y^3)^5 \cdot y^3} \\=y^3\sqrt[5]{y^3}$
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