Answer
$x=81$
Work Step by Step
$\sqrt[3] (x\sqrt x)=9$
$(x\sqrt x)^{\frac{1}{3}}=9$
$(x(x)^{\frac{1}{2}})^{\frac{1}{3}}=9$
$((x)^{\frac{3}{2}})^{\frac{1}{3}}=9$
$(x)^{\frac{1}{2}}=9$
Squaring on both sides.
$x = 81$
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 1 - Equations and Inequalities - Exercise Set 1.6 - Page 181: 135
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