What is the unit digit of 4^72?

💡 Solution & Explanation

The unit digits of powers of 4 repeat in a cycle of 2: 4, 6. Divide the power by 2: 72 ÷ 2 leaves a remainder of 0, which means the last digit of the cycle. So the unit digit of 4^72 is 6. Only the last digit of the base matters for this pattern.