Answer
$3x$
Work Step by Step
$\frac{\sqrt[4] 162x^{5}}{\sqrt[4] 2x}=\sqrt[4] \frac{162x^{5}}{2x}=\sqrt[4] 81x^{4}=3x$
We know that $\sqrt[4] 81x^{4}=3x$, because $(3x)^{4}=3^{4}x^{4}=81x^{4}$.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3 - Page 48: 74
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