Complex numbers polar form change I have a pretty straight forward question. 
Change $z = (-1+i\sqrt3)^{2017}$ to $a+bi$ $\;$ form & polar form. Where $i = \sqrt{-1}$. 
So i want to change it to $z = re^{iv}$. 
$r$ is easy to calculate. $r = \sqrt4 = 2$. 
However the angle is where im struggeling. 
I know all the "standard" angles with components like:  $\frac{\sqrt3}2, \frac12, \frac1{\sqrt2}$. 
However now we have $\frac{\sqrt3}{-1}$. How do you tackle this type of question?

Hint: The point $-1+\sqrt3i$ makes an equilateral triangle together with $0$ and $-2$.
