Cunning exponents

Algebra Level 3

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

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

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

Note:- Here \(x \neq 1\)


This is one part of the set Fun with exponents
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