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Here is the problem: Evaluate 81 to the power 0.25.

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Raise 81 to the power 1 over 4.

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Identify the base and exponent. base b equals 81, exponent n equals 1 over 4.

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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 4 is the root, the numerator 1 is the power.

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Take the 4th root exactly.

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So the answer is 3.

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81 raised to 1 over 4 equals 3.

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Decimal check: 81 to the power 0.25 approximately 3.