Evaluate:

$\sqrt[3]{\frac{729}{1000}}$

On factorisation:

$\sqrt[3]{\frac{729}{1000}}=\frac{\sqrt[3]{(3 \times 3 \times 3) \times(3 \times 3 \times 3)}}{\sqrt[3]{(2 \times 2 \times 2) \times(5 \times 5 \times 5)}}=\frac{\sqrt[3]{9 \times 9 \times 9}}{\sqrt[3]{10 \times 10 \times 10}}$

$\sqrt[3]{\frac{729}{1000}}=\frac{9}{10}$