Answer
$y^2\sqrt[3]{y^2}$
Work Step by Step
Factor the radicand (expression inside the radical sign) so that at least one factor is a cube, and then simplify to obtain:
$=\sqrt[3]{y^6(y^2)}
\\=\sqrt[3]{(y^2)^3y^2}
\\=y^2\sqrt[3]{y^2}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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 - Page 531: 45
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