# Ques.-4

**Algebra**Level 3

If \(x\) and \(y\) are positive real numbers and \(m,n\) are positive integers, then what is the maximum value of \[\dfrac{x^m \cdot y^n}{(1+x^{2m}) \cdot (1+y^{2n})}\]

If \(x\) and \(y\) are positive real numbers and \(m,n\) are positive integers, then what is the maximum value of \[\dfrac{x^m \cdot y^n}{(1+x^{2m}) \cdot (1+y^{2n})}\]

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