Hello, i find this whole complex number thing quite difficult

And therefore i have 2 questions.

1

Simplify and write on the formula a + bi

e^(1-i)*e^(2+2i)

Should these functions be differentiated first or can we use the product rule and the exponetial rules to "add the exponents"?

2

Im feeling lost when dealing with e. I don't know what im doing, I don't know what it is and where it comes from. All i know is that is got something to do with exponetial growth.