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  • 15-09-2017
  • Mathematics
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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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temp102 temp102
  • 15-09-2017
[tex]volume=side^3[/tex]

remember
[tex](ab)^c=(a^c)(b^c)[/tex]
and
[tex](a^b)^c=a^{bc}[/tex]


each side is [tex]3c^6d^2[/tex]
so the volume is [tex](3c^6d^2)^3[/tex]
which is
[tex](3)^2(c^6)^3(d^2)^3=[/tex]
[tex](9)(c^{18})(d^6)=[/tex]
[tex]9c^{18}d^6[/tex]

the volume is [tex]9c^{18}d^6[/tex]
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