Simplify and leave in radical form.

Answer:
[tex]\sqrt[4]{xy^3}[/tex].
Step-by-step explanation:
[tex]\sqrt[8]{x^2y^6}[/tex]
= [tex]x^{\frac{2}{8} } y^{\frac{6}{8}}[/tex]
= [tex]x^{\frac{1}{4} } y^{\frac{3}{4}}[/tex]
= [tex]\sqrt[4]{xy^3}[/tex].
Hope this helps!