What is the unit digit of the expansion (44)^4,(55)^5,(88)^8..
I want the deep explanation... Please..
Well one way to do this problem is using mods... but I prefer this way:
List out the units digits of powers of 4:
4, 6, 4, 6, 4... see the pattern?
For powers of 5, the units digit is always 5
For powers of 8, we have the pattern 8, 4, 2, 6, 8, 4, 2, 6, 8...
You can use this to help find your answer