Answer:
[tex]3x^{2} y[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{27x^{6}y^{3}}[/tex]
[tex]\sqrt[3]{3^{3}x^{3*2}y^{3}} \\=\sqrt[3]{3^{3}}\sqrt[3]{x^{3*2}}\sqrt[3]{y^{3}} \\= 3x^{2}y[/tex]