The unit's digit of \(12^{12}\) is equal to:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 6
The unit digit of \(12^{12}\) is the unit digit of \(2^{12}\). The unit digits of the powers of 2 repeat in a cycle of 4:
\(2^1 = 2,\quad 2^2 = 4,\quad 2^3 = 8,\quad 2^4 = 16\)
12 is a multiple of 4, so \(2^{12}\) ends in the same digit as \(2^4\), that is, 6.
\(2^{12} = (2^4)^3 = 4096\)