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\sqrt[6]{3^{2}}
Rewrite 9 as 3^{2}.
\left(3^{2}\right)^{\frac{1}{6}}
Convert from radical to exponential form.
3^{\frac{2}{6}}
To raise a power to another power, multiply the exponents.
3^{\frac{1}{3}}
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.
\sqrt[3]{3}
Convert from exponential to radical form.