SOLUTION: How do you solve this? It is part of my homework and it provides the answer in the book but I cannot figure out how they got it, can someone please show me the steps? Determine

Question 310098: How do you solve this? It is part of my homework and it provides the answer in the book but I cannot figure out how they got it, can someone please show me the steps?
Determine the ones digit when the expression is evaluated.
Problem: 34^202
Answer: 6
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Determine the ones digit when the expression is evaluated.
Problem: 34^202
-----------------
Look at the powers of 34, or any number whose 1's digit is 4.
Powers of 34:
34
1156
39304
1336336
45435424
----------
Notice that the 1's digit alternates between 4 and 6.
That's true for all numbers xxxxxx...4.
4
16
64
256
1024
4096
etc
If it's an even exponent, it's 6
If it's odd, it's 4.

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