Answer:
[tex]\dfrac{y^8}{x^{10}}[/tex]
Step-by-step explanation:
Apparently, you want to simplify ...
[tex]\left(\dfrac{x^{-4}y}{x^{-9}y^5}\right)^{-2}\\\\=(x^{-4-(-9)}y^{1-5})^{-2}=x^{5(-2)}y^{-4(-2)}\\\\=x^{-10}y^8=\boxed{\dfrac{y^8}{x^{10}}}[/tex]