[tex]( \frac{ \sqrt{3} }{3} {)}^{2} = \frac{( \sqrt{3} {)}^{2} }{ {3}^{2} } = \frac{3}{9} = \frac{1}{3} [/tex]
[tex]( \frac{2}{5} {)}^{2} = \frac{ {2}^{2} }{ {5}^{2} } = \frac{4}{25} [/tex]
[tex] \sqrt[3]{2} \times \sqrt[3]{4} = \sqrt[3]{2 \times 4} = \sqrt[3]{8} = 2[/tex]
[tex] \sqrt[3]{3} \times \sqrt[3]{9} = \sqrt[3]{3 \times 9} = \sqrt[3]{27} = 3[/tex]
[tex] \sqrt[3]{ \frac{8}{27} } = \frac{ \sqrt[3]{8} }{ \sqrt[3]{27} } = \frac{2}{3} [/tex]