# An algebra problem by أحمد الحلاق

Algebra Level 3

$\large \left(1 + \dfrac1{1 + 2^1} \right)\left(1 + \dfrac1{1 + 2^2} \right)\left(1 + \dfrac1{1 + 2^3} \right)\cdots \left(1 + \dfrac1{1 + 2^{10}} \right)$

If the expression above can be expressed as $$\dfrac mn$$, where $$m$$ and $$n$$ are coprime positive integers, find $$m+n$$.

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