Question

I know the answer. I just don’t know how to get to it.

Can someone please explain the process please thank you. The answer is xy outside the radical and 3x^2y^2/4 all cubed. Thank you :)))

Answer 1

`~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] ~\dotfill`

`\sqrt[3]{\cfrac{3x^6 y^(10)}{4xy^5}}\implies \sqrt[3]{\cfrac{3x^6 y^(10) ~~ x^(-1)y^(-5)}{4}}\implies \sqrt[3]{\cfrac{3x^6 x^(-1)y^(10) y^(-5)}{4}} \\\\\\ \sqrt[3]{\cfrac{3x^(6-1) y^(10-5)}{4}}\implies \sqrt[3]{\cfrac{3x^5 y^5}{4}}\implies \sqrt[3]{\cfrac{3x^3 x^2 y^3 y^2}{4}}\implies {\Large \begin{array}{llll} xy\sqrt[3]{\cfrac{3x^2 y^2}{4}} \end{array}}`