Cunning exponents

Algebra Level 3

xx4=x4x\large {\sqrt{x}}^{\sqrt[4]{x}} = \sqrt[x]{\sqrt[4]{x}}

Find the real value of xx which satisfies the above equation.

The answer in the simplest form is of the form 1a5\dfrac{1}{\sqrt[5]{a}}, then find the value of aa.

Note:- Here x1x \neq 1

This is one part of the set Fun with exponents

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