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I don’t understand how to do thisss

I don’t understand how to do thisss-example-1
User Wandy
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~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{3}~~ = ~~3^k\implies \sqrt[3]{3^1}=3^k\implies 3^{(1)/(3)}=3^k\implies \cfrac{1}{3}=k

User Fiacobelli
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