Question

Simplify (xy)^-3/(x^-5y)^3

Answer 1

`Use:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^n:a^m=a^(n-m)\\\\\left(a^n\right)^m=a^(n\cdot m)\\\\a^(-n)=\left((1)/(a)\right)^(n)\\==================================\\((xy)^(-3))/((x^(-5)y)^3)=(x^(-3)y^(-3))/((x^(-5))^3y^3)=(x^(-3)y^(-3))/(x^(-15)y^3)=x^(-3-(-15))y^(-3-3)=\boxed{x^(12)y^(-6)=(x^(12))/(y^6)}`