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I know that answer is (2) |a| divides 15 but I'm not sure how they got the answer, any hints will be helpful thank you.

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closed as off-topic by Eevee Trainer, Jyrki Lahtonen, Jean-Claude Arbaut, Dietrich Burde, Cesareo Apr 22 at 9:35

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Hint: $$\begin{align}a^{16} &= (bab)^4\\ &= babbabbabbab \\ &= ba^4 b\\ &= b(bab)b \\ &= a.\end{align}$$

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