Step-by-step explanation:
[tex] {(216 {x}^{9} {y}^{4} )}^{ \frac{1}{3} } + {(81 {x}^{10} {y}^{8} ) }^{ \frac{1}{2} } \\ = ( {216}^{ \frac{1}{3}})( {x}^{ \frac{9}{3} } )( {y}^{ \frac{4}{3} } ) + ( {81}^{ \frac{1}{2} } )( {x}^{ \frac{1}{2} } )( {y}^{ \frac{8}{2} } ) \\ = 6 {x}^{3} {y}^{ \frac{4}{3}} + 9 {x}^{ \frac{1}{2} } {y}^{4} [/tex]
