Answer
$64$
Work Step by Step
With $16=2^4$, the given expression is equivalent to:
$16^{\frac{3}{2}}=(2^4)^{\frac{3}{2}}$
Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain:
$=2^{4\cdot\frac{3}{2}}$
$=2^6$
$=64$
Hence, the correct answer is $64$.
