Question

A shipping box is in the shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of the cube as a monomial.

Answer 1

`volume=side^3`

remember

`(ab)^c=(a^c)(b^c)`
and

`(a^b)^c=a^(bc)`


each side is
`3c^6d^2`
so the volume is
`(3c^6d^2)^3`
which is

`(3)^2(c^6)^3(d^2)^3=`

`(9)(c^(18))(d^6)=`

`9c^(18)d^6`

the volume is
`9c^(18)d^6`