Answer
$8u^{3}$
Work Step by Step
Using laws of exponents, then,
\begin{array}{l}
(4u^2)^{3/2}
\\\\=
(2^2u^2)^{3/2}
\\\\=
2^{2\cdot\frac{3}{2}}u^{2\cdot\frac{3}{2}}
\\\\=
2^{3}u^{3}
\\\\=
8u^{3}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 424: 49
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