Polar form of a complex number
= Polar form of a complex number
{title2=$z=re^{i\theta}$}
= Polar form
{synonym}
A nonzero <complex number> has the form $z=re^{i\theta}$ with $r=|z|>0$ and an argument determined modulo $2\pi$. Multiplication multiplies moduli and adds arguments. This makes powers and <roots of a complex number> particularly transparent.