Answer
$8$
Work Step by Step
Use $4=2^2$ to obtain:
$4^{\frac{3}{2}}=(2^2)^{\frac{3}{2}}$
Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain:
$=2^{2\cdot \frac{3}{2}}$
$=2^3$
$=8$
Hence, the correct answer is $8$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A88: 68
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