# Roots inside roots?

Algebra Level 4

$\huge{\sqrt[{\sqrt[4]{4x}}]{{(x^4)}^{\sqrt[4]{x}}} = x^x}$

Find the real value of $$x$$ satisfying the equation above.

The answer is of the form $$a × \sqrt[4]{b}$$, where $$a$$ and $$b$$ are integers, then what is $$a + b$$?

$$\text{Note}$$:- Here $$x \neq 0,1$$

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