Answer
$-2y\sqrt[3]{2x^2}$
Work Step by Step
Factor the radicand (expression inside the radical sign) so that one factor is a perfect cube, and then simplify to obtain:
$=\sqrt[3]{(-8y^3)(2x^2)}
\\=\sqrt[3]{(-2y)^3(2x^2)}
\\=-2y\sqrt[3]{2x^2}$
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: 31
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