What is the units digit of the sum \(3^{44}+5^{43}+2^{12}\)?

Explanation: Units digit of \(3^{44}\): The pattern of units digits for powers of 3 is 3, 9, 7, 1 (cycle of 4). \(44 \div 4 = 11\) remainder 0 (or 4), so the unit digit is \(1\). Units digit of \(5^{43}\): The pattern is always \(5\). Units digit of \(2^{12}\): The pattern of units digits for powers of 2 is 2, 4, 8, 6 (cycle of 4). \(12 \div 4 = 3\) remainder 0 (or 4), so the unit digit is \(6\). Units digit of the sum: Units digit of \((1 + 5 + 6) = 12\) is \(2\).