# Raising things to i power, I came across 4.8104773809655

by SteveRives
Tags: power, raising, things
 Sci Advisor HW Helper P: 1,123 For: $$x^i = i$$ The solutions for x are: $$e^{\frac{\pi}{2} + n\pi} \quad \forall n \in \mathbb{Z}$$ So if you hadn't already guessed: $$e^{\frac{\pi}{2}} \approx 4.8104773809653516554730356667 \ldots$$ As for the equation: $$i^x = 0$$ Well there exists no complex solution for x. In fact the only time: $$a^b = 0$$ For a and b in complex numbers is when $a=0$ and $b \neq 0$.