Question:

Evaluate:

$\sqrt[3]{\frac{-64}{343}}$

Solution:

$\sqrt[3]{\frac{-64}{343}}$

On factorisation:
                 

$\sqrt[3]{\frac{64}{343}}=\sqrt[3]{\frac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{7 \times 7 \times 7}}$

$\therefore \sqrt[3]{\frac{-64}{343}}=\frac{-4}{7}$

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