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If $K$ is a field extension of $F$ and if $\alpha$ $\in$ K is not separable over F, show that $\alpha^{p^{m}}$ is separable over F for some $m\geq 0$. Where $p=char(F)$.

I have been trying it for hours. Any help is appreciated. Thank you

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  • $\begingroup$ Any One can solve it guys. I am kind of stuck $\endgroup$ – user631697 Jan 9 at 15:45

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