i need help to proof that

$\displaystyle a^ab^b/(a^a+b^b)=c^c$, dont have solution in positive integers

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- Jun 2nd 2009, 08:22 PMspitmathdiophantine equation
i need help to proof that

$\displaystyle a^ab^b/(a^a+b^b)=c^c$, dont have solution in positive integers - Jun 3rd 2009, 05:08 AMaidan
$\displaystyle a^ab^b/(a^a+b^b)=c^c$

restated

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

?latex error?