Answer
$\dfrac{y^{2}}{x^2}$
Work Step by Step
Simplify. $(\dfrac{x^{1/2}y^{-7/4}}{y^{-5/4}})^{-4}$
or, $=\dfrac{x^{(1/2)(-4)}y^{(-7/4)(-4)}}{y^{(-5/4)(-4)}}$
or, $=\dfrac{x^{-2}y^{7}}{y^5}$
or, $=\dfrac{x^{-2}y^{7}}{y^5}$
or, $=x^{-2}y^{7-5}$
or, $=\dfrac{y^{2}}{x^2}$
