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\left(\sqrt[5]{\frac{5}{6}}\right)^{-\frac{1}{6}}
Use the rules of exponents to simplify the expression.
\left(\frac{5}{6}\right)^{\frac{1}{5}\left(-\frac{1}{6}\right)}
To raise a power to another power, multiply the exponents.
\left(\frac{5}{6}\right)^{-\frac{1}{30}}
Multiply \frac{1}{5} times -\frac{1}{6} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{\sqrt[30]{6}}{\sqrt[30]{5}}
Raise \frac{5}{6} to the power -\frac{1}{30}.