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\left(8^{-2}\right)^{\frac{5}{6}}
Use the rules of exponents to simplify the expression.
8^{-2\times \frac{5}{6}}
To raise a power to another power, multiply the exponents.
8^{-\frac{5}{3}}
Multiply -2 times \frac{5}{6}.
\frac{1}{32}
Raise 8 to the power -\frac{5}{3}.