Find cube root of 125 x -64

Prime factors of 125:

Prime factors of 64:

$\sqrt[3]{125 \times -64}\\[1em] = \sqrt[3]{125}\times{\sqrt[3]{-64}}\\[1em] = \sqrt[3]{(5\times 5 \times 5)}\times-\sqrt[3]{(2 \times 2 \times 2)\times(2 \times 2 \times 2)}\\[1em] = (5)\times -(2 \times 2)\\[1em] = 5 \times -4\\[1em] = -20$

Hence, $\sqrt[3]{125 \times -64} = -20$