In short, the multiplicative identity is the number
1, because for any other number x,
1*x = x. So, the reason that any number to the
zero power is one is because any number to the
zero power is just the product of no numbers at all, which is the multiplicative identity,
1.
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Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1.
