[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt[3]{4}\implies 4\sqrt[3]{4^1}\implies 4^1\cdot 4^{\frac{1}{3}}\implies 4^{1+\frac{1}{3}}\implies 4^{\frac{4}{3}}\implies \sqrt[3]{4^4}\implies \sqrt[3]{256} ~\approx~ 6.35[/tex]
