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An equation (Posted on 2014-07-03) Difficulty: 3 of 5
The equation xxyy=zz has trivial integer solutions if x=1 or y=1. What is the smallest solution to xxyy=zz where x, y, and z are integers and 1<x≤y?

No Solution Yet Submitted by Math Man    
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re(2): solution Comment 5 of 5 |
(In reply to re: solution by broll)

Yes, I mistakenly used '+' when I should have used '*'.


Instead, (az)^a * (bz)^b = z 

and a^a * b^b * z^(a+b-1) = 1 

requiring a=b=1 and z=1. 

  Posted by xdog on 2014-07-14 10:33:23
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