SOLUTION: The length of each side of a square wooden box, in inches, is represented by the expression 8m2 The volume of the box, in cubic inches, is (8m2)3 what is the simplified express

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Question 586307: The length of each side of a square wooden box, in inches,
is represented by the expression 8m2
The volume of the box, in cubic inches, is (8m2)3
what is the simplified expression represents the volume of the box

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the length of the box is represented by (8m2)
does that mean 8m^2?
in english that would be 8 times m^2 or 8 * m * m.
if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:
(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248.