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HELP ME PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER. I DONT KNOW HOW TO DO IT WITH A VARIABLE

HELP ME PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER. I DONT KNOW HOW TO DO IT WITH A VARIABLE-example-1

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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\\\\ \cfrac{1}{x^{-(3)/(6)}}\implies x^{+(3)/(6)}\implies x^{(3)/(6)}\implies x^{(1)/(2)}\implies \sqrt[2]{x^1}\implies √(x)

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