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Here is the problem: Evaluate 9 to the power 5 over 2).

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Raise 9 to the power 5 over 2.

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Identify the base and exponent. base b equals 9, exponent n equals 5 over 2.

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Fractional exponent rule. b to the power m/n) equals ( to the power nthe square root of b to the power m: the denominator 2 is the root, the numerator 5 is the power.

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Take the square root exactly.

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So the answer is 243.

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9 raised to 5 over 2 equals 243.

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Decimal check: 9 squared.5 approximately 243.