I need to find the real and imaginary values of z^5, when z = 2-2i

I got r = 2 sqrt(2) and theta = -pi/4

However now I am stuck. I tried to put it into the form r^k e^(i k theta)

and got (2 rt(2)) ^5 * e^(-5pi/4) but then I don't know what to do to find the real and imaginary parts.

What should I do?

Thank you :)