Evaluate 9^(5/2)

Problem

9(5/2)

Solution

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

9(5/2)=(√(,9))5

2. Evaluate the square root of the base.

√(,9)=3

3. Substitute the result back into the expression.

3

4. Calculate the final value by multiplying 3 by itself five times.

3×3×3×3×3=243

Final Answer

9(5/2)=243

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