"evaluate and write your answer in the form of a+bi"?

Question

a) (6-2i) / 2+3i)

b) (2-i)^3

c) i^13

well those are the problems and im just wondering how u work it out

:o

i can solve it i just need some help :]

Answer 1

a) (3 - i) + 3i = 3 + 2i

b) (2 - i) (4 - 4i + i^2) = (2 - i) (4 - 4i - 1) = (2 - i) (3 - 4i)

(2 - i)^3 = 6 - 8i - 3i + 4i^2 = 2 - 11i

c) i^13 = i^4 * i^4 * i^4 * i

i^4 = 1, therefore i^13 = i