Answer:
[tex]A) \sf \ \sf \dfrac{x^8}{16y^4}[/tex]
Explanation:
[tex]\sf \left(\dfrac{2y}{x^2}\right)^{-4}[/tex]
inverse of the expression
[tex]\sf \left(\dfrac{x^2}{2y}\right)^{4}[/tex]
distribute power inside parenthesis
[tex]\sf \left(\dfrac{(x^2)^4}{(2y)^4}\right)[/tex]
apply exponent rules: [tex]\s(a^b )^c = a^{bc}[/tex]
[tex]\sf \dfrac{x^8}{16y^4}[/tex]
