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प्रश्न
Evaluate of the following
\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9}\]
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उत्तर
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.
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