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Math Help - diophantine equation

  1. #1
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    May 2009
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    diophantine equation

    i need help to proof that


    a^ab^b/(a^a+b^b)=c^c, dont have solution in positive integers
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  2. #2
    Super Member
    Joined
    Jan 2009
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    a^ab^b/(a^a+b^b)=c^c

    restated


     (ab)^{a+b} = (ac)^{a+c} + (bc)^{b+c}


    ?latex error?
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