# Science:Math Exam Resources/Courses/MATH437/December 2011/Question 07 (i)

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MATH437 December 2011

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### Question 07 (i)

Let ${\displaystyle \displaystyle a\in \mathbb {Z} }$ such that ${\displaystyle \displaystyle a\equiv 5\mod {8}}$ and let ${\displaystyle \displaystyle \alpha \in \mathbb {N} }$.

(i) Prove that the order of a modulo ${\displaystyle \displaystyle 2^{\alpha +2}}$ is ${\displaystyle \displaystyle 2^{\alpha }}$

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