text: what is the i'th root of i?   by euler's identity:  e ^ (i * pi) = -1  taking the square root of both sides:  e ^ (i * pi / 2) = i  taking the i'th root of both sides:  e ^ (pi/2) = i ^ (1/i)  i fear that one or more of the steps isn't valid, but my answer is:  e ^ (pi/2)