Find the cube-roots of 729 x 8000

Prime factors of 729:

Prime factors of 8000:

$\sqrt[3]{729 \times 8000}\\[1em] = \sqrt[3]{729}\times\sqrt[3]{8000}\\[1em] = \sqrt[3]{(3 \times 3 \times 3 )\times(3 \times 3 \times 3)}\times{\sqrt[3]{(2 \times 2 \times 2)\times (2 \times 2 \times 2) \times (5 \times 5 \times 5)}}\\[1em] = (3 \times 3)\times(2 \times 2 \times 5)\\[1em] = 9\times 20\\[1em] = 180$

Hence, $\sqrt[3]{729 \times 8000} = 180$