Answer
$\frac{\sqrt[4] 3}{2y}$
Work Step by Step
$\sqrt[4] {\frac{3}{16y^{4}}}=\frac{\sqrt[4] 3}{\sqrt[4] {16y^{4}}}=\frac{\sqrt[4] 3}{\sqrt[4] {2^{4}\times y^{4}}}=\frac{\sqrt[4] 3}{\sqrt[4] {2^{4}}\times \sqrt[4] {y^{4}}}=\frac{\sqrt[4] 3}{2\times y}=\frac{\sqrt[4] 3}{2y}$
