How do I write the complex number in the complex plane and how do I write it in both polar form and exponential form of 4-4i? Show steps please.

Answer 1

Draw and label a diagram.

4 on the horizonal (real) axis.

-4 on the vertical (imaginary) axis

r = ||4 - 4i| = 2√2

tan θ = -1

θ = -45°

polar form: (2√2, -45°

exponential form: (2√2)e^-πi/4