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Here is the problem: Evaluate 2 over 3 to the power negative 2.

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Raise 2 over 3 to the power negative 2.

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Identify the base and exponent. base b equals 2 over 3, exponent n equals negative 2.

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Negative exponent rule. A negative exponent means the reciprocal: b^(negative n) equals 1/b to the power n.

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Multiply the base by itself.

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So the answer is 9 over 4.

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2 over 3 raised to negative 2 equals 9 over 4.

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Decimal check: 0.6666666667 to the power negative 2 approximately 2.25.