What is the last digit 3^3^3 ?
* 1
* 3
* 6
* 7
* 9
Guys, do you know any shortcut to do this kind of problem?
* 1
* 3
* 6
* 7
* 9
Guys, do you know any shortcut to do this kind of problem?
ok here is the shortcut..try a few examples using this and it wud be clear
lets say we need to find the unit digit of 3^256
consider this
3^1-unit digit 3
3^2-unit digit 9
3^3-unit digit 7
3^4-unit digit 1
now trick is 1^(whatever number)..the unit digit will always be 1
so express the given number in terms of 3^4
3^256=(3^4)^64--unit digit will be 1
In the given problem
3^3^3=3^9=3^8*3=(3^4)^2*3--unit digit will be 1*3=3
Hope I helped
