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\sqrt[360]{19^{2}}
Rewrite 361 as 19^{2}.
\left(19^{2}\right)^{\frac{1}{360}}
Convert from radical to exponential form.
19^{\frac{2}{360}}
To raise a power to another power, multiply the exponents.
19^{\frac{1}{180}}
Reduce the fraction \frac{2}{360} to lowest terms by extracting and canceling out 2.
\sqrt[180]{19}
Convert from exponential to radical form.