Answer
$8$
Work Step by Step
With $16=2^4$, the given expression is equivalent to:
$16^{\frac{3}{4}}
=(2^4)^{\frac{3}{4}}$
Use the rule $\left(a^m\right)^n=a^{mn}$, then simplify to obtain:
$=2^{4\cdot\frac{3}{4}}$
$=2^3$
$=8$
Hence, the correct answer is $8$.