Question
Fill in the blanks: $\sqrt[]{\frac{512}{...}} = \frac{8}{13}$

Answer

$13 \times 13 \times 13 = 2197$
Solution:
$\because\sqrt[3]{\frac{512}{\underline{13}}}$
$=\frac{\sqrt[3]{8^3}}{{\sqrt[3]{13^3}}}$
$=\frac{8}{\underline{13}}$

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