# 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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