Re: I asumed that Z = 2 and then solved problem. but I can't proove it. can you?

Simple)) z = 2; So x^a+y^b=2^c => 2^(c-1) + 2^(c-1) == 2^(c-1)*(1+1) == 2^(c-1)* 2^1 = 2^(c-1+1) == 2^c; => x^a == 2^(c-1), y^b = 2^(c-1) => x == 2^((c-1)/a), y== 2^((c-1)/b).