# Thread: converting rectangular complex to polar

1. ## converting rectangular complex to polar

Question is to convert this into polar form
$
z = (1 + \sqrt 3 i)^5
$

Is what I have below correct?
$
= 2^5 (\cos (\frac{\pi }{3}) + i\sin (\frac{\pi }{3}))
$

2. Don't forget to multiply the argument by 5 as well, thus getting ${5\pi\over 3}$. And I would rather expect a notation with an exponential, but your teacher may want it written as you did, I don't know.