The digit in the unit's place of $6^{500}$ is:
Answer & explanation
Correct answer: option 1
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.