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Why everything to power of zero is equal to one?

Updated: 8/18/2019
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13y ago

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x to the power a divided by x to the power b is x to the power (a - b)

When a and b are equal then this is x to the power a divided by x to the power a, ie 1. x to the power (a - a) = x to the power zero.

Things which are equal to the same thing are equal to each other, so 1 = x to the power zero.

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Q: Why everything to power of zero is equal to one?
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