Not only Expression

Algebra Level 3

Given that xx and yy are positive integers satisfying {(x+y)2=169x2y2=39\begin{cases} (x + y)^{2} = 169 \\ x^{2} - y^{2} = -39 \end{cases} What is the remainder when xyx^{y} is divided by yxy^{x} ?

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