#### Answer

True.

#### Work Step by Step

The only possible residue mod $8$ for squares of odd integers is $1$, which corresponds to residues of $1$ and $9$ mod 16. Squaring each of these, we get $1$ mod $16$, so $n^4$ is $1$ mod $16$ if n is odd.

Published by
Cengage Learning

ISBN 10:
0-49539-132-8

ISBN 13:
978-0-49539-132-6

True.

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