Complex exponential factorials!

Algebra Level 5

\[\LARGE \sqrt[{\left(x × \sqrt[4]{x^3}\right)}^{x!}]{x!} = {\left(\sqrt[{\left(i^2\right)}^{x!}]{x!}\right)}^{x^{-8820}}\]

Find the real value of \(x\) satisfying the real equation above.

Note:- Here \(x \not\in \{-1 , 0 , 1\}\).


Why not have Fun with exponents?
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