Answer
$\dfrac{(xy^{3})^{5}}{(xy)^{-4}}=x^{9}y^{19}$
Work Step by Step
$\dfrac{(xy^{3})^{5}}{(xy)^{-4}}$
Evaluate the exponential expressions in the numerator and the denominator:
$\dfrac{(xy^{3})^{5}}{(xy)^{-4}}=\dfrac{x^{5}y^{15}}{x^{-4}y^{-4}}=...$
Evaluate the division and simplify:
$...=x^{5-(-4)}y^{15-(-4)}=x^{9}y^{19}$
