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# if m is an integer is ​an integer??

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if m is an integer is $$m^3\cdot 3^{k+3}-m^2\cdot 3^{2k+3}+m\cdot 3^{k+2}-1$$an integer??

Aug 9, 2020

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Aug 9, 2020
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Assuming that k is also a positive integer and that the backslant does not mean divide, I don't see anything in the expression that would introduce a fraction.  Of course, I don't know what the "cdot" means so I ignored it.

Aug 9, 2020
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I think what s/he meant was

If m is an integer is $$m^3\cdot 3^{k+3}-m^2\cdot 3^{2k+3}+m\cdot 3^{k+2}-1$$ an integer?

Aug 9, 2020