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\left(5^{\frac{6}{7}}\right)^{8}
Use the rules of exponents to simplify the expression.
5^{\frac{6}{7}\times 8}
To raise a power to another power, multiply the exponents.
5^{\frac{48}{7}}
Multiply \frac{6}{7} times 8.
15625\times 5^{\frac{6}{7}}
Raise 5 to the power \frac{48}{7}.