Question regarding separable extension
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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 $mgeq 0$ . Where $p=char(F)$ . I have been trying it for hours. Any help is appreciated. Thank you
field-theory finite-fields separable-extension
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asked Jan 9 at 9:32
user631697 user631697
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