Answer
$\frac{y\sqrt[3] {y^{2}}}{3x^{2}}$
Work Step by Step
$\sqrt[3] \frac{y^{5}}{27x^{6}}$
=$\sqrt[3] \frac{y^{3}\times y^{2}}{3^{3}\times x^{6}}$
=$\frac{\sqrt[3] {y^{3}}\times \sqrt[3] {y^{2}}}{\sqrt[3] {3^{3}}\times \sqrt[3] {x^{6}}}$
=$\frac{y\times \sqrt[3] {y^{2}}}{3\times x^{2}}$
=$\frac{y\sqrt[3] {y^{2}}}{3x^{2}}$