Answer:
Step-by-step explanation:
[tex]\frac{x^{-4}y}{x^{-9}y^{5}}^{-2}=(x^{-4}*{x^{9}*y*y^{-5})^{-2}\\\\=(x^{-4+9}*y^{1-5})^{-2}\\\\=(x^{5}*y^{-4})^{-2}\\\\=x^{5*-2}*y^{-4*-2}\\\\=\frac{y^{8}}{x^{10}}[/tex]
