# When exponents get funny

Algebra Level 5

$\huge {\sqrt[4]{\sqrt[x]{4}}}^{\tfrac{1}{\sqrt[4]{{\left(\sqrt[x]{4x^4}\right)}^{x^4}}}} = 4^{4^{-17}x^{-x^3 - 1}}$

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

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

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