(8)⅔ • (27)⅔ / (4) 3per2 +(32) 1per5 =

[tex] \frac{ {8}^{ \frac{2}{3} } \times {27}^{ \frac{2}{3} } }{ {4}^{ \frac{3}{2} } + {32}^{ \frac{1}{5} } } \\ = \frac{ {( {2}^{3}) }^{ \frac{2}{3} } \times {( {3}^{3} )}^{ \frac{2}{3} } }{ {( {2}^{2} )}^{ \frac{3}{2} } + {( {2}^{5} )}^{ \frac{1}{5} } } \\ = \frac{ {2}^{2} \times {3}^{2} }{ {2}^{3} + 2} \\ = \frac{4 \times 9}{8 + 2} \\ = \frac{36}{10} \\ = \frac{18}{5} [/tex]