\[\sqrt[3]{4} \cdot \sqrt[3]{2} + \frac{\sqrt[5]{9^{3}}}{\sqrt[5]{3}} = \sqrt[3]{4 \cdot 2} + \sqrt[5]{\frac{9^{3}}{3}} =\]
\[= \sqrt[3]{8} + \sqrt[5]{3^{5}} = \sqrt[3]{2^{3}} + 3 =\]
\[= 2 + 3 = 5\]