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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$\displaystyle a^ab^b/(a^a+b^b)=c^c$ restated $\displaystyle (ab)^{a+b} = (ac)^{a+c} + (bc)^{b+c} $ ?latex error?
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