Answer:
[tex]\huge\boxed{\left(xy^{-6}\right)^2=x^2y^{-12}=\dfrac{x^2}{y^{12}}}[/tex]
Step-by-step explanation:
[tex]\left(xy^{-6}\right)^2=x^2\left(y^{-6}\right)^2=x^2y^{-6\cdot2}=x^2y^{-12}=\dfrac{x^2}{y^{12}}[/tex]
Used
[tex](ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]
