(-5)2 = (-5) * (-5) = + 25 [since -ve * -ve = +ve]
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Negative 5 to the second power would be -5 times -5 which would be 25.
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-3^2 = 9 -(3^2) = -9
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10 to the second power is the inverse of 10 to the negative second power. 10 to the 2nd power is 100 so the inverse of 100 is 1/100 or .01 so 10 to the negative second power is written as 10-2 which is equal to 1/100 or 0.01.