Question 205168
Prove that any number raised to the 0'th power equals 1.
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That's not quite true because {{{0^0}}} is undefined, not 1.

But any other number to the zero power is indeed 1.

The reason it is 1 is because you can take any non-zero exponent,
say, 7, and consider this:

{{{x^7/x^7}}}

That must equal 1 because when you divide a number by itself,
you must get 1. So

{{{x^7/x^7=1}}}

Now if the law of subtraction of exponents is to hold true, then
if we do that same problem by subtracting exponents we get

{{{x^7/x^7=x^(7-7)=x^0}}}

So {{{x^0=1}}}

Edwin</pre>