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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.
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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.

User Brandon Deo
by
8.4k points

1 Answer

4 votes

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
User Adhi
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7.8k points
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