document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586307>Question 586307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of each side of a square wooden box, in inches,<BR>\n" );
document.write( "is represented by the expression 8m2<BR>\n" );
document.write( "The volume of the box, in cubic inches, is  (8m2)3<BR>\n" );
document.write( "what is the simplified expression represents the volume of the box\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373694 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the length of the box is represented by (8m2)<BR>\n" );
document.write( "does that mean 8m^2?<BR>\n" );
document.write( "in english that would be 8 times m^2 or 8 * m * m.<BR>\n" );
document.write( "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.\r<BR>\n" );
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document.write( "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.\r<BR>\n" );
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document.write( "working that out algebraically, it would look like this:<BR>\n" );
document.write( "(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.\r<BR>\n" );
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