The expression is simplified below. Then the correct options are A, C, and D.
What is simplification?
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
[tex]\rm \rightarrow \dfrac{\sqrt[3]{8^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}[/tex]
Simplify the expression, then the expression will be
[tex]\rm \rightarrow \dfrac{\sqrt[3]{8^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\\\\\\rm \rightarrow \dfrac{\sqrt[3]{\left ( 2^3 \right )^{\frac{1}{3} }\cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\\\\\\rm \rightarrow \dfrac{\sqrt[3]{2 \cdot 3 } }{3 \cdot 2^{\frac{1}{9}}}\\[/tex]
Further, simplify the expression, then we have
[tex]\rm \rightarrow \dfrac{2^{\frac{2}{9}}}{3^{\frac{2}{3}}}\\\\\\\rightarrow 2^{\frac{2}{9}} \cdot {3^{-\frac{2}{3}}}\\\\\\\rightarrow \sqrt[9]{2^2} \cdot \sqrt[3]{3^{-2}} \\\\\rightarrow \sqrt[9]{4} \cdot \sqrt[3]{\dfrac{1}{9}} \\[/tex]
Then the correct options are A, C, and D.
More about the simplification link is given below.
https://brainly.com/question/12616840
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