Answer
$\frac{16}{9}$
Work Step by Step
According to the power rule for exponents, $(a^{m})^{n}=a^{mn}$ (where $m$ and $n$ are integers and $a$ is a real number).
Therefore, $(\frac{4}{3})^{2}=(\frac{4^{1}}{3^{1}})^{2}=\frac{4^{1\times2}}{3^{1\times2}}=\frac{4^{2}}{3^{2}}=\frac{16}{9}$.
