In other words, if x and y are complex (each have the form a+bi), show that x^y can have a real value, or prove that it is impossible.

Note: i is the imaginary value defined as the number that yields -1 when squared. a and b are any real numbers, but b is not 0.

one can think of a really easier solution for this.
it,s

i^i
= ( e^(i(pi)) )^(i)
=e^(-pi)
which is real.

Posted by kannan on 2004-06-21 08:04:20