How to express $(-1+ \sqrt{3}i)^5$ in rectangle form? The question is "Express $(-1+ \sqrt{3}i)^5$ in rectangle form."
I've never heard of rectangle form before and it's apparently gonna be on the final exam. I couldn't find anything on google to help.

\begin{align*}
  (-1+\sqrt{3}\,i)^{5} &=
  2^{5} \left( -\frac{1}{2}+\frac{\sqrt{3}}{2} i\right)^{5} \\
  &= 2^{5} (e^{2\pi i/3})^{5} \\
  &= 2^{5} e^{10\pi i/3} \\
  &= 32\, e^{4\pi i/3} \\
  &= 32\left( -\frac{1}{2}-\frac{\sqrt{3}}{2} i\right) \\
  &= -16-16\sqrt{3} \, i
\end{align*}
