Is [math](12 – i^{20}) + (–18 – 4i^{18})[/math] wholly real or wholly imaginary, or does it have both a real and an imaginary part?
[list=1] [*]Simplify any expressions containing [math]i^n[/math]. [*]Find the sum or difference of the real parts. [*]Find the sum or difference of the imaginary parts. [*]Find the sum of the real and imaginary parts. [*]Use the form of the sum to determine if it is wholly real or wholly imaginary, or if it has both a real and an imaginary part. [/list]