diophantine equation

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June 2nd 2009, 08:22 PM
spitmath

diophantine equation

i need help to proof that

$a^ab^b/(a^a+b^b)=c^c$ , dont have solution in positive integers
June 3rd 2009, 05:08 AM
aidan

$a^ab^b/(a^a+b^b)=c^c$

restated

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

?latex error?

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