Oh, dude, negative 1 to the 2nd power is just 1. It's like math's way of saying, "Hey, I'm gonna make this negative thing positive because why not?" So, yeah, negative 1 squared equals 1. Math can be weirdly optimistic sometimes.
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1 over 3 to the negative 2nd power is 9
The answer is negative (-1 raised to the power of 100 = -1)
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.
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When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.