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 - Review Exercises - Page 577: 77

Answer

$\dfrac{3x}{\sqrt[3]{9x^2y}}$

Work Step by Step

Simplify. $ \dfrac{\sqrt[3]{3x}}{\sqrt[3]y}$ Now, $ \dfrac{\sqrt[3]{3x}}{\sqrt[3]y}=(\dfrac{\sqrt[3]{3x}}{\sqrt[3]y})(\dfrac{\sqrt[3]{9x^2}}{\sqrt[3]{9x^2}})$ or, $=\dfrac{(\sqrt[3]{3x})(\sqrt[3]{9x^2})}{(\sqrt[3]y)(\sqrt[3]{9x^2})}$ $\implies \dfrac{3x}{\sqrt[3]{9x^2y}}$
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