cuberoot(24x^2y^3z)
cuberoot(2 * 2 * 2 * 3 * x * x * y * y * y * z)
With cube roots, you take three of the same thing inside and make it one of that thing outside. In this case there are three 2's and three y's inside, so we do this:
2y cuberoot(3 * x * x * z)
2y cuberoot(3 x^2 z)