Given a finitely generated field $F$ of char $p$, consider the continuous étale cohomology $H^{i,p}=H_{cont}^i(F, (\mu^{\otimes p}_{l^n}))\otimes \mathbb{Q}$ where $l$ is an invertible prime. The contiuous étale cohomology of a field is defined as the direct limit of continuous étale cohomology of open subvarieties of the variety that its function field is $F$. Why $H^{i,p}$ is zero for $i>p$ regardless of the transcendental degree of $F$?