What is the last (units) digit of 333^444 ?
Any number which has a units digit of 1, will continue to have the same digit no matter what is the power it is raised to.
We can write 333^444 as (333^4)^111.
Any number which has a units digit of 3 when raised to the power 4 has a units digit of 1.
This make 333^4 a number with a units digit of 1.
Therefore 333^4 raised to any power will continue to have a units digit of 1.
So the required units digit of 333^444 is 1.
To determine the last digit number in unit place of 333^444
We know that the last digitof 333^4 = is e as the same as the last digit of 3^4 = last digit in 81. So it is 1.
Therefore the last digit of 333^444 is the same as last digit of (333^4)^111 which is 1.
=> The last digit of of 333^444 is the same as the last digit of 81^111.
But the last digit 81^n, for any positive integer n
So the last digit of 333^444 is 1.