What is the unit digit of the number \((22)^{23}\)
What is the unit digit of the number \((22)^{23}\)
संख्या \((22)^{23}\) का इकाई अंक है ?
Detailed Solution & Logic
Correct Answer:
8
Step 1: Focus on unit digit
Unit digit of 22 is 2, so find unit digit of:
$2^{23}$
Step 2: Pattern of $2^n$ (unit digits)
$2^1 = 2$
$2^2 = 4$
$2^3 = 8$
$2^4 = 6$
Cycle repeats every 4: 2, 4, 8, 6
Step 3: Find position
$23 \mod 4 = 3$
So take 3rd term in cycle → 8
Final Answer: 8
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