how can I prove this statement in local field theory?

Question

Let $\mathbb{K}$ be a fixed local field. Then there is an integer $q=p^r$, where p is a fixed prime element of $\mathbb{K}$ and r is a positive integer [edit] such that for each $x\in\mathbb{K}, x\neq0$, we have $|x|=q^k$ for some integer $k$. [/edit]