Thread: Can you raise stuff to the power of "i" ?

Can you raise variables to the power of "i"--the imaginary unit--just as you would raise them to the power of a real number?

For example, can I take this equation...



...and do this...



...resulting in...



Or is that against the rules?

You can raise any number to any power you like, but you should convert everything to exponential polar form, makes exponentiation much easier...

E.g.

, where is an integer





.