# Root 2014?!

Level pending

If

$x=1+\sqrt[2014]{2}+\sqrt[2014]{4}+\sqrt[2014]{8}+\dots+\sqrt[2014]{2^{2013}}$

Then, the value of $$(\frac{x+1}{x})^{95}$$ can be expressed in the form $$\sqrt[b]{2^a}$$, where $$a$$ and $$b$$ are positive coprime integers. What is the value of $$a+b$$?

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