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I would appreciate if someone could take me through the steps. I did not find an counterexamples.

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    $\begingroup$ Is "n2"$\;=n^2\;$ ? $\endgroup$
    – DonAntonio
    Nov 12, 2013 at 18:47
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    $\begingroup$ this is not true: take $n=2$ and $k=4$. $\endgroup$
    – Berci
    Nov 12, 2013 at 18:47

1 Answer 1

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It is false if that's a square:

$$8\mid 4^2\;,\;\;\text{but}\;\;8\nmid 4\;\ldots$$

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    $\begingroup$ Oh wow, I can't believe I did not consider this. Thank you. $\endgroup$
    – bert
    Nov 12, 2013 at 19:15

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