Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents - Page 721: 36

Answer

$\frac{5(\sqrt[3] {4x})}{2x}$

Work Step by Step

$\frac{5}{\sqrt[3] {2x^2}}$ $\frac{(5)(\sqrt[3] {2x^2})(\sqrt[3] {2x^2})}{(\sqrt[3] {2x^2})(\sqrt[3] {2x^2})(\sqrt[3] {2x^2})}$ $\frac{(5)(\sqrt[3] {2x^2*2x^2})}{\sqrt[3] {2x^2*2x^2*2x^2}}$ $\frac{(5)(\sqrt[3] {2x^2*2x^2})}{\sqrt[3] {(2^3)(x^2)^3}}$ $\frac{5(\sqrt[3] {4x^4})}{2x^2}$ $\frac{5(\sqrt[3] {4x^4})}{2x^2}$ $\frac{5(\sqrt[3] {4x^4})}{2x^2}$ $\frac{5(\sqrt[3] {4x*x^3})}{2x^2}$ $\frac{5x(\sqrt[3] {4x})}{2x^2}$ $\frac{5(\sqrt[3] {4x})}{2x}$
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