Question

(3x^-2/2y^-1)^-2 simplify it ​

Answer 1

$\sf{\displaystyle{(\frac{3x^-^2}{2y^-^1} )^-^2}}\\\\\\\displaystyle{\sf{=(\frac{2y^1}{3x^2} )^-^2}}\\\\\\\displaystyle{\sf{=(\frac{2y}{3x^2})^-^2 }}\\\\\\\displaystyle{\sf{=(\frac{3x^2}{2y} )^2}}\\\\\displaystyle{\sf{=\frac{(3x^2)^2}{(2y)^2} }}\\\\\\\underline{\boxed{\displaystyle{\sf{=\frac{9x^4}{4y^2} }}}}$