# Find it again!

Algebra Level 3

$\Large {{\left(x\sqrt[4]{x}\right)}^x = x^{x\sqrt[4]{x}}}$

Given that $$x\, (\ne 1,0,-1)$$ satisfies the equation above and $$x$$ can be expressed as $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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