Question : Simplify:
$\small \sqrt[3]{-2917}\times \sqrt[3]{-125}\div \sqrt[3]{\frac{27}{512}}$
Option 1: $\frac{492}{7}$
Option 2: $\frac{520}{3}$
Option 3: $\frac{554}{7}$
Option 4: $\frac{571}{5}$
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Correct Answer: $\frac{520}{3}$
Solution :
$\sqrt[3]{-2917}\times \sqrt[3]{-125}\div \sqrt[3]{\frac{27}{512}}$
$=-13 \times -5 \div \frac{3}{8} $
$= 65 \times \frac{8}{3} = \frac{520}{3}$
Hence, the correct answer is $\frac{520}{3}$.
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