Does $2^{2k}$ (where $k$ is a natural number) always result in perfect squares?If so, why?I just tried it with a few values and it appears to be true. I need the result for this to simplify a question.
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6Your question looks odd...or maybe I misunderstood: $$2^{2k}=\left(2^k\right)^2$$ and this is obviously a square... – Timbuc Nov 09 '14 at 14:23
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Got it. It was simple enough. Thanks – Paradox 101 Nov 09 '14 at 14:25
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@Integrator, i cannot accept an answer until a certain amount of time ( a couple of minutes) has passed. – Paradox 101 Nov 09 '14 at 14:28