What is the units digit of 8100SolutionLets check the patter

What is the units digit of 8^100?

Lets check the pattern

8^1 = 8

8^2 = 64 (Units place has a digit 4)

8^3 = 512 (Unit place has a digit 2)

8^4 = 4096 (Units place has a digit 6)

8^5 = 32768 (Unit place has a digit 8)

Hence the pattern repeat after every four powers, i.e. it start with 8,4,2,6 and then again 8

Since 100 is divisible by 4, hence the 8^100 will have 6 at its units place, which is equivalent in 8^4, which ends with a 6

Hence the correct answer is 6