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Here is the problem: Evaluate 32 to the power negative 3 over 5).

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Raise 32 to the power negative 3 over 5.

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Identify the base and exponent. base b equals 32, exponent n equals negative 3 over 5.

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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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Fractional exponent rule. b to the power m/n) equals ( to the power nthe square root of b to the power m: the denominator 5 is the root, the numerator 3 is the power.

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So the answer is approximately 0.125.

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The value is approximately 0.125.

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Decimal check: 32 to the power negative 0.6 approximately 0.125.