Answer :
[tex]\bf \sqrt[3]{3}\cdot \sqrt[3]{9}\implies \sqrt[3]{3}\cdot \sqrt[3]{3^2}\implies \sqrt[3]{3\cdot 3^2}\implies \sqrt[3]{3^{1+2}}\implies \sqrt[3]{3^3}\implies 3[/tex]
[tex]\bf \sqrt[3]{3}\cdot \sqrt[3]{9}\implies \sqrt[3]{3}\cdot \sqrt[3]{3^2}\implies \sqrt[3]{3\cdot 3^2}\implies \sqrt[3]{3^{1+2}}\implies \sqrt[3]{3^3}\implies 3[/tex]