Why is $x^ {-1} = frac {1} {x}$? – Mathematics Stack Exchange

June 2, 2026

@turkeyhundt I don’t like appealing to “common sense” results like this because it would lead one to believe that negative binomials (for example) aren’t a thing due to the factorial function, and yet there is another definition that works (generalized version). I am after something a little more rigorous.

https://math.stackexchange.com/questions/1881811/why-is-x-1-frac1x

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