[tex] \bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
\rule{31em}{0.25pt} \\\\
16^{-\frac{3}{4}}\implies \cfrac{1}{16^{\frac{3}{4}}}~~
\begin{cases}
16=2\cdot 2\cdot 2\cdot 2\\
\qquad 2^4
\end{cases}\implies \cfrac{1}{(2^4)^{\frac{3}{4}}}\implies \cfrac{1}{2^3}\implies \cfrac{1}{8} [/tex]
