Ain't it cunning?

Algebra Level 3

\[\sqrt{{\left(\sqrt[4]{{x}^{5}}\right)}^{3}} = \sqrt[5]{{\left(\sqrt[3]{{x}^{2x^2}}\right)}^{4}}\]

Find the positive real value of \(x\) which satisfies the equation above.
Here \(x \neq 1\)


This is one part of the set Fun with exponents
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