Question

Please write down and show every step in your work.


`\sqrt[3]{216x^(9)y^(4) } +(81x^(10)y^(8))^{(1)/(2) }`

Answer 1

Explanation:

`{(216 {x}^(9) {y}^(4) )}^{ (1)/(3) } + {(81 {x}^(10) {y}^(8) ) }^{ (1)/(2) } \\ = ( {216}^{ (1)/(3)})( {x}^{ (9)/(3) } )( {y}^{ (4)/(3) } ) + ( {81}^{ (1)/(2) } )( {x}^{ (1)/(2) } )( {y}^{ (8)/(2) } ) \\ = 6 {x}^(3) {y}^{ (4)/(3)} + 9 {x}^{ (1)/(2) } {y}^(4)`