Question

Find the cube root of $512$

Answer 1

$\sqrt[3]{3512}=(512{)}^{\frac{1}{3}}$
$=\left(\right(2\times 2\times 2)\times (2\times 2\times 2)\times (2\times 2\times 2{)}^{\frac{1}{3}}$
$=(2^3\times 2^3\times 2^3{)}^{\frac{1}{3}}$
$=(2^9{)}^{\frac{1}{3}}=2^3$
$\sqrt[3]{3512}=8$.