Answer
8
Work Step by Step
We know that $a^{\frac{m}{n}}=(\sqrt[n] a)^{m}$ (where m and n are positive integers greater than 1 with $\frac{m}{n}$ in simplest form and $\sqrt[n] a$ is a real number).
Therefore, $16^{\frac{3}{4}}=(\sqrt[4] 16)^{3}=2^{3}=8$
We know that $\sqrt[4] 16=2$ because $2^{4}=2\times2\times2\times2=16$
