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Also as 1/x +1/y = 1/z, z = 1/(1/x + 1/y)= xy/(x+y)
Then (ab)^z = (a * a^(x/y))^[xy/(x+y)] = a^[(1+ x/y)* xy / (x+y)] = a^[(x+y) / x * xy / (x+y)] = a^x
So a^x = (ab)^z.
As a^x = (ab)^z
Then a^x = (ab)^[xy/(x+y)]
So a = (ab)^[y / (x+y)], which leads to a^(x+y) = (ab)^y, then a^x *a^y = a^y *b^y,
Then we have a^x = b^y.
Recalling a^x = (ab)^z given in the condition, we have proven b^y = (ab)^z.
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你能帮帮他们吗