Evaluate 9^(3/2)

Problem

9^(3/2)

Solution

1. Rewrite the expression using the property of rational exponents a^(m/n)=(√(n,a))^m

9^(3/2)=(√(,9))^3

2. Evaluate the square root of the base.

√(,9)=3

3. Raise the result to the power of the numerator.

3^3=3⋅3⋅3

4. Calculate the final product.

3⋅3⋅3=27

Final Answer

9^(3/2)=27

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