Question

what is the answer of this question​

Answer 1

$\huge \purple {Answer}$

${x}^{ {x}^{4} } = 64$

Now, quartic the both sides

$( { {x}^{ {x}^{4} } })^{4} = {(64)}^{4}$

We can write it as:-

$({ {x}^{4} })^{ {x}^{4} } = {( {8}^{2} )}^{4}$

$({ {x}^{4} })^{ {x}^{4} } = {(8)}^{8}$

As, x⁴=8 in base and exponents too therefore,

${x}^{4} = 8$

$x = \sqrt[4]{8}$

Therefore, value of x= $\sqrt[4]{8}$

$\boxed {Hope \: it \: helps}$