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 - Page 531: 85

Answer

$-6y^2\sqrt[5] {2x^3y}$.

Work Step by Step

The given expression is $=-3y\sqrt[5] {64x^3y^6}$ Identify the power of $5$ factors. $=-3y\sqrt[5] {2^52^1x^3y^5y^1}$ Factor into two radicals. $=-3y\sqrt[5] {2^5y^5}\sqrt[5] {2^1x^3y^1}$ Simplify. $=-3y2y\sqrt[5] {2x^3y}$ $=-6y^2\sqrt[5] {2x^3y}$.
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