Question

[tex] \frac { 3 ^ { \frac { 2 } { 3 } } \times 3 ^ { \frac { 4 } { 5 } } } { 3 ^ { \frac { 2 } { 5 } } } [tex]​

Answer 1

Question :

$\\ \frac { 3 ^ { \frac { 2 } { 3 } } \times 3 ^ { \frac { 4 } { 5 } } } { 3 ^ { \frac { 2 } { 5 } } }$

Answer :

$\implies( {3}^{ \frac{2}{3} } \div {3}^{ \frac{2}{5} } ) \times( {3}^{ \frac{4}{5} } \div {3}^{ \frac{2}{5} } )$

$\large \implies( {3}^{ \frac{2}{3} - \frac{2}{5} } ) \times( {3}^{ \frac{4}{5} - \frac{2}{5} } )$

$\large \implies {3}^{ \frac{4}{15} } \times {3}^{ \frac{2}{5} }$

$\large \implies {3}^{ \frac{4}{15} + \frac{2}{5} }$

$\large \implies {3}^{ \frac{10}{15} }$

$\large \implies {3}^{ \frac{2}{3} }$