Question

Evaluate of the following

\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9}\]

Answer 1

To evaluate the value of the given expression, we need to proceed as follows: 

\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9} = \sqrt[3]{\frac{729}{216}} \times \frac{6}{9} = \frac{\sqrt[3]{729}}{\sqrt[3]{216}} \times \frac{6}{9} = \frac{\sqrt[3]{9 \times 9 \times 9}}{\sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3}} \times \frac{6}{9} = \frac{9}{2 \times 3} \times \frac{6}{9} = \frac{9^1}{6} \times \frac{6^1}{9} = 1\]

Thus, the answer is 1.