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.