Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Cumulative Review: 22

Answer

$4x^{2}\sqrt[3]xy^{2}$

Work Step by Step

$\sqrt[3] (64x^{7}y^{2})=\sqrt[3] (64x^{6}\times xy^{2})=\sqrt[3] (64x^{6})\times \sqrt[3](xy^{2})=4x^{2}\sqrt[3]xy^{2}$ We know that $\sqrt[3] (64x^{6})=4x^{2}$, because $(4x^{2})^{3}=4^{3}x^{2\times3}=64x^{6}$.
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