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\sqrt[18]{3^{3}}
Rewrite 27 as 3^{3}.
\left(3^{3}\right)^{\frac{1}{18}}
Convert from radical to exponential form.
3^{\frac{3}{18}}
To raise a power to another power, multiply the exponents.
3^{\frac{1}{6}}
Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.
\sqrt[6]{3}
Convert from exponential to radical form.