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Here is the problem: Evaluate 16 to the power 3 over 4).

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Raise 16 to the power 3 over 4.

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Identify the base and exponent. base b equals 16, exponent n equals 3 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 3 is the power.

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Take the 4th root exactly.

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So the answer is 8.

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16 raised to 3 over 4 equals 8.

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Decimal check: 16 to the power 0.75 approximately 8.