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It doesn't. Negative one to an even power equals positive one. Negative one to an odd power equals negative one.
One. Any number to the zero power is one.
One to any power is still one. If the power is positive, you have 1 times itself over and over again, so it does not change. If the power is zero, the answer is always one, no matter the number. If the power is negative, you find the reciprocal of the expression and make the power positive. If the base of the exponential expression is 1, it is always one.
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One.