Answer
$\sqrt[4]{\dfrac{3x}{7y}}$
Work Step by Step
RECALL:
For nonegative numbers a and b,
$\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$
Use the rule above to obtain:
$=\sqrt[4]{\dfrac{x}{7} \cdot \dfrac{3}{y}}
\\=\sqrt[4]{\dfrac{3x}{7y}}$