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Any number to the power zero is equal to one. That can be derived from the following index law:

xa*xb = xa+b (x not zero)

Now let b = 0 so that the above becomes

xa*x0 = xa+0

so

xa*x0 = xa (since a+0 = a)

That is, any number multiplied by x0 is the number itself. That can be true only if x0 is the multiplicative identity, that is, only if x0 = 1.

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โˆ™ 2012-04-13 09:38:15
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Q: Why is 10 power 0 equal to 1?
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Related questions

Why is 10 to the power 0 equal 1?

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