Answer:
[tex]x^{1/4} y^{1/2}[/tex]
Step-by-step explanation:
When you have a power then a root like that, you have to divide the power by the root.
So, in this case, you have (x^2y^4) and a 8th root (8√).
So, you take your exponents from (x^2y^4) and divide them by the root (8), to get new powers of 2/8, or 1/4, and 4/8 or 1/2
As I already explained you in other questions, that leaves a fractional exponent that is equivalent to the regular exponent then rooted.
Answer is then: [tex]x^{1/4} y^{1/2}[/tex]
