Question

Find the volume of a cube with a side length of 4r3s2.

Answer 1

V = 64 r^(9) * s^(6)

Explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = ( 4r^3s^2) ^3

We know that ( ab) ^c = a^c * b^c

V = 4^3 * r^3^3 * s^2^3

V = 64 * r^3^3 * s^2^3

We know that a^b^c = a^(b*c)

V = 64 r^(3*3) * s^(2*3)

V = 64 r^(9) * s^(6)