Answer: [tex]\large{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{x^2y^4}=x^{\frac{2}{8}}y^{\frac{4}{8}}=\huge\boxed{x^{\frac{1}{4}}y^{\frac{1}{2}}}[/tex]
