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