Answer
-1024
Work Step by Step
As shown on page 445, we know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$.
Therefore, $-16^{\frac{5}{2}}=-(\sqrt[2] 16^{5})=-((\sqrt 16)^{5})=-(4^{5})=-(1024)=-1024$.
We know that $\sqrt 16=4$, because $4^{2}=16$.
