Equivalence Relation/Examples/Equal Fourth Powers over Complex Numbers

Example of Equivalence Relation
Let $\C$ denote the set of complex numbers.

Let $\RR$ denote the relation on $\C$ defined as:
 * $\forall w, z \in \C: z \mathrel \RR w \iff z^4 = w^4$

Then $\RR$ is an equivalence relation.