Answer
4$x^{4}$$y^{1/2}$
Work Step by Step
You have the expression:(2$x^{2}$$y^{1/4}$$)^{2}$.Simplify the expression:
(2$\times$2)($x^{2*2}$)($y^{1/4*2}$) -multiply the exponents because you are raising a power to a power-
=4$x^{4}$$y^{1/2}$