Answer:
[tex] \sqrt[12]{8} ^x[/tex]
Explanation:
Before we begin, remember the following rules:
(xᵃ)ᵇ = xᵃᵇ
∛x = x¹/³
Now, for the given we have:
[tex] \sqrt[3]{8} ^{ \frac{1}{4} x} [/tex]
Applying the above rules, this can be simplify the above as follows:
[tex](8 ^{ \frac{1}{3} } )^ \frac{x}{4} [/tex]
[tex]8^ \frac{1*x}{3*4} = 8^ \frac{x}{12} [/tex]
This is equivalent to:
[tex] \sqrt[12]{8} ^x[/tex]
Hope this helps :)
