Answer
32
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, $4^{\frac{5}{2}}=(\sqrt 4)^{5}=2^{5}=32$
We know that $\sqrt 4=2$ because $2^{2}=4$
