[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
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\cfrac{1}{x^{\frac{3}{6}}}\implies \cfrac{1}{x^{\frac{1}{2}}}\implies \cfrac{1}{\sqrt{x}}\impliedby \textit{now, rationalizing the denominator}
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\cfrac{1}{\sqrt{x}}\cdot \cfrac{\sqrt{x}}{\sqrt{x}}\implies \cfrac{\sqrt{x}}{x}[/tex]
