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\left(8^{\frac{3}{4}}\right)^{2}
Use the rules of exponents to simplify the expression.
8^{\frac{3}{4}\times 2}
To raise a power to another power, multiply the exponents.
8^{\frac{3}{2}}
Multiply \frac{3}{4} times 2.
16\sqrt{2}
Raise 8 to the power \frac{3}{2}.