The digit in the unit's place of $6^{500}$ is: |
6 5 3 2 |
6 |
The correct answer is Option (1) → 6 To find the unit digit of $6^{500}$, observe the pattern of units digit for powers of 6: $6^1 = 6$ → unit digit 6 $6^2 = 36$ → unit digit 6 $6^3 = 216$ → unit digit 6 The unit digit of powers of 6 is always 6. |