Exponents!!!

Algebra Level 3

(x4)4x4=(x4)4x4\large {\left(\sqrt[4]{x}\right)}^{4x^4} = {\left(x^4\right)}^{4\sqrt[4]{x}}

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

If the answer is of the form a×b15,a × \sqrt[15]{b}, then submit the value of a+b.a + b.

Note: Here, x0,1x \neq 0,1.


This is one part of the set Fun with exponents.
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