Question

How do I solve this pre-calc question using a single radical?

(xy)^(-3/4)

Answer 1

`\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^( n)} \qquad \qquad \sqrt[{ m}]{a^( n)}\implies a^{\frac{{ n}}{{ m}}} \\\\\\ \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)} \qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ (xy)^{-(3)/(4)}\implies \cfrac{1}{(xy)^{(3)/(4)}}\implies \cfrac{1}{\sqrt[4]{(xy)^3}}\implies \cfrac{1}{\sqrt[4]{x^3y^3}}`