[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
-3(567)^{1\div 4}\implies -3(567)^{\frac{1}{4}}\implies -3(\sqrt[4]{567^1})\implies -3(\sqrt[4]{567})
\\\\\\
\begin{cases}
567=3\cdot 3\cdot 3\cdot 3\cdot 7\\
\qquad 3^4\cdot 7
\end{cases}\implies -3(\sqrt[4]{3^4\cdot 7})\implies -3(3\sqrt[4]{7})\implies -9\sqrt[4]{7}[/tex]
