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\left(5^{\frac{3}{2}}\right)^{3}
Use the rules of exponents to simplify the expression.
5^{\frac{3}{2}\times 3}
To raise a power to another power, multiply the exponents.
5^{\frac{9}{2}}
Multiply \frac{3}{2} times 3.
625\sqrt{5}
Raise 5 to the power \frac{9}{2}.