It follows from the index laws.
x^(a-b) = x^a / x^b
If you then set b = a then x^0 = x^a/x^a = 1.
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Any number raised to the zero power equals 1.
Any number except 0 itself raised to the power of zero exponent is always equal to 1
no exponent can make a number equal to zero, however any number with an exponent of zero is one.
Why not? An exponent is just like any other number.
Not sure what you're asking. Any number can be an exponent, like 1013, where 13 would be the exponent in this case. If you were given the number 13, and asked what the exponent was, the answer would be one (1), since any number to the 1 power equals that number, so 131 = 13, if no exponent is given then it is assumed to be one (1).