Question

Write the expression in simplest form using only positive exponents (x^2/3y^-1/2)^-6

Answer 1

`\left( \cfrac{x^2}{3y^{- (1)/(2) }} \right)^(-6)=\left( \cfrac{3y^{- (1)/(2) }}{x^2} \right)^(6)=\left( \cfrac{3}{x^2y^{ (1)/(2) }} \right)^(6)= \cfrac{3^6}{x^(2*6)y^{ (1)/(2)*6 }} = \cfrac{729}{x^(12)y^3}`