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Please write down and show every step in your work.
[tex]\sqrt[3]{216x^{9}y^{4} } +(81x^{10}y^{8})^{\frac{1}{2} }[/tex]

Sagot :

discipulus

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]

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