What is the unit digit of 2^65?

💡 Solution & Explanation

The unit digits of powers of 2 repeat in a cycle of 4: 2, 4, 8, 6. Divide the power by 4: 65 ÷ 4 leaves a remainder of 1, which means position 1 in the cycle. So the unit digit of 2^65 is 2. Only the last digit of the base matters for this pattern.