Discussion
Find the unit digit of \(22^{23}\).
Answer: D
Only the unit digit of the base matters, so consider powers of 2:
\[ 2,\ 4,\ 8,\ 6 \quad (\text{period } 4) \]
\[ 23 = 4 \times 5 + 3 \quad\Longrightarrow\quad \text{third in the cycle} \]
So the unit digit is 8.
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