Question

Simplify. (show work)
((3mn/2)^-1)^-4

Answer 1

`\bf \left[ \left( \cfrac{3mn}{2} \right)^(-1) \right]^(-4)\implies \left[ \left( \cfrac{2}{3mn} \right)^(1) \right]^(-4)\implies \left[ \cfrac{2}{3mn} \right]^(-4)\implies \left[ \cfrac{3mn}{2} \right]^(4) \\\\\\ \left[ \cfrac{3^4m^4n^4}{2^4} \right]\implies \cfrac{81m^4n^4}{16}`