Answer
1000
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, $100^{\frac{3}{2}}=\sqrt[2] (100)^{3}=(\sqrt 100)^{3}=10^{3}=1000$.
We know that $\sqrt 100=10$, because $10^{2}=100$.
