Evaluate 5 raised to the power of -2.

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Multiple Choice

Evaluate 5 raised to the power of -2.

Explanation:
A negative exponent means you take the reciprocal of the base raised to the corresponding positive exponent. So 5^(-2) equals 1/(5^2). Since 5^2 is 25, you get 1/25. The other options come from different exponent ideas: 25 is 5^2 without taking the reciprocal, -25 would require a sign change not produced by exponents, and 1/5 is 5^(-1).

A negative exponent means you take the reciprocal of the base raised to the corresponding positive exponent. So 5^(-2) equals 1/(5^2). Since 5^2 is 25, you get 1/25. The other options come from different exponent ideas: 25 is 5^2 without taking the reciprocal, -25 would require a sign change not produced by exponents, and 1/5 is 5^(-1).

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