I read somewhere that:
Where i is the complex unit number
There wasn't any further explanation on this. Only a short developpment.
I don't have any problem with the developpment. But what puzzles me is the fact the the complex power of a complex number is in fact a real number.
Does anybody have a logical explanation for this. I think it's quite a unique phenomenon.
If you take a number out of R and take its power, it will be a number in R again and not Q.