[tex] \frac{4}{ \sqrt[9]{8} } = \frac{4}{ \sqrt[9]{ {2}^{3} } } = \frac{4}{ {2}^{ \frac{3}{9} } } = \frac{ {2}^{2} }{ {2}^{ \frac{1}{3} } } = {2}^{2 - \frac{1}{3} } = {2}^{ \frac{6}{3} - \frac{1}{3} } = {2}^{ \frac{6 - 1}{3} } = {2}^{ \frac{5}{3} } [/tex]
