Frobenius action on $\overline{\mathbb Q_p}$

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Let $p$ be a prime number and let $F_p$ be the Frobenius automorphism of $\overline{\mathbb F_p}$.

Given an explicit element $x $ of $\overline{\mathbb Q_p}$, how do I compute $F_p(x)$?

Does it even make sense?