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\sqrt[10]{3^{5}}
Rewrite 243 as 3^{5}.
\left(3^{5}\right)^{\frac{1}{10}}
Convert from radical to exponential form.
3^{\frac{5}{10}}
To raise a power to another power, multiply the exponents.
3^{\frac{1}{2}}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\sqrt{3}
Convert from exponential to radical form.