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Unit Digit

  1. Dec 2, 2003 #1
    Hi, is there any way to find Unit Digit of a expression, say

    [tex]a^b[/tex]


    where a, b, are positive integers?
     
  2. jcsd
  3. Dec 2, 2003 #2

    Hurkyl

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    Yes.

    Hint: fix a, vary b, and ignore the irrelevant details, see if you can find a clue...
     
  4. Dec 2, 2003 #3
    U mean a pattern?

    Like 2^2 = 4, like 2^2222 = 4? Because 2222 is divisible by 2?
     
  5. Dec 2, 2003 #4

    Hurkyl

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    I mean something a little more rigorous. :smile:

    Consider the values of 2^1, 2^2, 2^3, ...
     
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