Answer
$\dfrac{16}{9}$
Work Step by Step
Recall, the exponent tells us how many times to multiply the base (which is the fraction in this case) by itself. Thus, we obtain:
$\left(-\dfrac{4}{3}\right)^2=\left(-\dfrac{4}{3}\right)\left(-\dfrac{4}{3}\right)=\dfrac{16}{9}$