what is the value of i power i?

• From Euler's formula, we know that exp(i*x) = cos(x) + i*sin(x), where "exp(z)" is the exponential function ez. Then
  
  exp(i*Pi/2) = cos(Pi/2) + i*sin(Pi/2) = i.
  
  Raising both sides to i-th power, we see that the right side is the desired quantity ii, while the left side becomes exp(i*i*Pi/2), or exp(-Pi/2), which is approximately .20788.
  
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