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.

x^y can take real values. For example
take x=i and y=i. Then
x^y=i^i(but i=e^iπ/2)
=> x^y = e^(iπ/2)*i=e^(i*i)*π/2 = e^(-π/2) which is real