Answer
$x^3y^2$
Work Step by Step
We use the rules of exponents and radicals to obtain:
$\displaystyle \sqrt[4]{x^{12}y^8}=(x^{12}y^{8})^{1/4}=(x^{12})^{1/4}(y^{8})^{1/4}=x^3y^2$
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.