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}
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.