Day: September 15, 2025

It is possible to interpret such expressions in many ways that can make sense. The question is, what properties do we want such an interpretation to have? $0^i = 0$ is a good choice, and maybe the only choice that makes concrete sense, since it follows the convention $0^x = 0$. On the other hand, $0^ {-1} = 0$ is clearly false (well, almost —see the discussion on goblin’s answer), and $0^0=0 …