are there non-integer powers of i
it would make sense, right, for the continuous function of i to the power of (2 * theta)/π to be a circle in the complex numbers
@Manurweibling it does make sense and this is indeed the case
@lambdagrrl what happens when you raise i to a non-real complex power
Follow
@Manurweibling i^(a + i b) = i^a * i^(i b) = i^a * (i^i)^b
so you end up with an angle pi*a/2 radians from the real line, scaled by the real number (i^i)^b
