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This question was asked in a competitive exam.

Find the remainder of dividing $6^{83}+ 8^{83}$ by $49$

Are there any theorems/rules to compute the answer ?

  • 2
    Maybe these [examples](http://math.stackexchange.com/search?q=remainder) can help you...2012-07-20
  • 0
    Did you mean the remainder of (6^83+8^83)/49? Also, what exam was this taken from and is it still ongoing?2012-07-20
  • 0
    @Mike : Yes.edited the question.2012-07-20

4 Answers 4