Answer
$\dfrac{(rs)^{-3}}{(r^{2}s^{3})^{2}}=\dfrac{1}{r^{7}s^{9}}$
Work Step by Step
$\dfrac{(rs)^{-3}}{(r^{2}s^{3})^{2}}$
Evaluate the exponential expressions in the numerator and the denominator:
$\dfrac{(rs)^{-3}}{(r^{2}s^{3})^{2}}=\dfrac{r^{-3}s^{-3}}{r^{4}s^{6}}=...$
Evaluate the division and simplify:
$...=r^{-3-4}s^{-3-6}=r^{-7}s^{-9}=\dfrac{1}{r^{7}s^{9}}$