# Find it again!

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

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

###### This is one part of the set Fun with exponents.
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