Question: If (n) = n 3 show that n = 2k3 for some positive exponents k . Hint. Since (n) is an integer you see that

If (n) = n 3 show that n = 2k3 for some positive exponents k . Hint. Since (n) is an integer you see that 3 n. Thus n 3 and by part (b) you also have that 2n. So you can write n = 2k3m where m is coprime with both 2 and 3 and k 1. Now prove m = 1

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