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Any number to the power of 1 is itself, so if we divide a^1 by a^1, we should get a^(1-1) = a^0, and we end up with 1. So any number to the power of 0 is 1 -except- 0. Sometimes people will treat 0^0 as if it were a certain value for convenience, but you should read this link.

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Q: Why is 5 to the power of 0 equal to 1?
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