Evaluate:

$\sqrt[3]{64}$

By prime factorisation:

$64=2 \times 2 \times 2 \times 2 \times 2 \times 2$

$=(2 \times 2 \times 2) \times(2 \times 2 \times 2)$

$\therefore \sqrt[3]{64}=\sqrt[3]{(2)^{3} \times(2)^{3}}=(2 \times 2)=4$