Question

(3X^-2/2y^-1)^-2 simplify it ​

Answer 1

$\sf{\displaystyle{(\frac{3x^-^2}{2y^-^1} )^-^2}}$

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

$\displaystyle{\sf{=(\frac{2y}{9x^2})^-^2 }}$

$\displaystyle{\sf{=(\frac{9x^2}{2y} )^2}}$

$\displaystyle{\sf{=\frac{(9x^2)^2}{(2y)^2} }}$

$\underline{\boxed{\displaystyle{\sf{=\frac{81x^4}{4y^2} }}}}$