Answer
$x^{\frac{2}{5}}y^{\frac{4}{5}}$
Work Step by Step
$\sqrt[20] (x^{8}y^{16})=x^{\frac{8}{20}}y^{\frac{16}{20}}=x^{\frac{8\div4}{20\div4}}y^{\frac{16\div4}{20\div4}}=x^{\frac{2}{5}}y^{\frac{4}{5}}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.