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Answer:
[tex]3 {x}^{3} [/tex]
Step-by-step explanation:
[tex]( \frac{81 {x}^{12} }{3 {x}^{3} } {)}^{ \frac{1}{3} } [/tex]
[tex]( \frac{27 {x}^{12} }{ {x}^{3} } {)}^{ \frac{1}{3} } = (27 {x}^{9} {)}^{ \frac{1}{3} } [/tex]
[tex] \sqrt[3]{27 {x}^{9} } [/tex]
[tex] = 3 {x}^{3} [/tex]