anonymous
  • anonymous
The length of each side of a square wooden box, in inches, is represented by the expression 6a3. The volume of the box, in cubic inches, is (6a3)3. Which simplified expression represents the volume of the box?
Mathematics
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anonymous
  • anonymous
The length of each side of a square wooden box, in inches, is represented by the expression 6a3. The volume of the box, in cubic inches, is (6a3)3. Which simplified expression represents the volume of the box?
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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cwrw238
  • cwrw238
(6a^3)^3 = 6^3* a^(3*3)
cwrw238
  • cwrw238
can you continue with this?
anonymous
  • anonymous
i got 216a^27 ?

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cwrw238
  • cwrw238
216 is is correct, but (a^3)^3 = a^(3*3) = a^9
cwrw238
  • cwrw238
one of rule of indices is( a^m)^n = a^mn
cwrw238
  • cwrw238
or you can regard it as (a^3)^3 = a^3 * a^3 * a^3 - adding the exponents this is a^(3+3+3) = a^9
anonymous
  • anonymous
okay i get it now thank you

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