Question

What is the value of i to the power of i (i being the complex number)

Answer 1

Hi,

$e^{\dfrac{i\pi }{2}}=i\\i^i=(e^{\frac{i\pi }{2}})^i=e^{\dfrac{-\pi }{2}}=\dfrac{1}{e^{\dfrac{\pi }{2}}}\approx{0.20787957...}$