Answer
$\frac{4^{3}}{a^{3}}$
Work Step by Step
3. We are given that $(\frac{4}{a})^{3}=\frac{4^{3}}{a}$ (where $a\ne0$).
However, according to the table on page 270, we know that $(\frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}$ (where $b\ne0$).
Therefore, $(\frac{4}{a})^{3}=\frac{4^{3}}{a^{3}}$ (where $a\ne0$).