Answer
$$\frac{1}{64}$$
Work Step by Step
We know the following rule: $$(\sqrt[n] x)=x^{\frac{1}{n}}$$
Using this as well as the rules of exponents learned in a past chapter (and listed on page 330, if review is necessary), we find:
$$\frac{1}{16^{\frac{3}{2}}} \\ \frac{1}{64}$$