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Question
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
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Solution
\[13 \times 13 \times 13 = 2197\]
∵ \[\sqrt[3]{\frac{512}{{13}^3}} = \frac{\sqrt[3]{8^3}}{\sqrt[3]{{13}^3}} = \frac{8}{13}\]
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