\begin{definition}[Definition:Complex Root]
Let $z \in \C$ be a complex number such that $z \ne 0$.
Let $n \in \Z_{>0}$ be a (strictly) positive integer.
Let $w \in \C$ such that:
:$w^n = z$
Then $w$ is a '''(complex) $n$th root of $z$''', and we can write:
:$w = z^{1 / n}$
\end{definition}