document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408777>Question 408777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone help me to divide and simplify this rational expression: 9a^7 over 8b^2 divided by 12a^2 over 24b^7.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287905 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><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=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets look at it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2A%28a%5E7%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2A%28a%5E2%29%2F24%2A%28b%5E7%29%29+ ALIGN=MIDDLE  ALT=\"+%289%2A%28a%5E7%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2A%28a%5E2%29%2F24%2A%28b%5E7%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The RULE for simplifying SUCH a rational expression is to multiply the top <BR>\n" );
document.write( "fraction by the bottom fraction WHEN the bottom fraction is turned UPSIDE DOWN.<BR>\n" );
document.write( "So we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%289%2A%28a%5E7%29%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2Aa%5E2%2F24%2Ab%5E7%29+ ALIGN=MIDDLE  ALT=\"+%28%289%2A%28a%5E7%29%29%2F%288%2A%28b%5E2%29%29%29%2F%2812%2Aa%5E2%2F24%2Ab%5E7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2A%28a%5E7%29%2F8%2A%28b%5E2%29%29%2A%28%2824%2A%28b%5E7%29%29%2F%2812%2A%28a%5E2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now let simplify the NUMBERS.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2A%28a%5E7%29%2F8%2A%28b%5E2%29%29%2A%28%2824%2A%28b%5E7%29%29%2F%2812%2A%28a%5E2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283%2A3%2A%28a%5E7%29%29%2F%282%2A2%2A2%2A%28b%5E2%29%29%29%2A%28%282%2A12%2A%28b%5E7%29%29%2F%2812%2A%28a%5E2%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We cancel one group of 2's and one group of 12's and get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283%2A3%2Aa%5E7%29%2F%282%2A2%2Ab%5E2%29%29%2A%28%28b%5E7%29%2F%28a%5E2%29%29+ ALIGN=MIDDLE  ALT=\"+%28%283%2A3%2Aa%5E7%29%2F%282%2A2%2Ab%5E2%29%29%2A%28%28b%5E7%29%2F%28a%5E2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%289%2Aa%5E5%29%2F%284%29%29%2A%28%28b%5E5%29%2F%281%29%29+ ALIGN=MIDDLE  ALT=\"+%28%289%2Aa%5E5%29%2F%284%29%29%2A%28%28b%5E5%29%2F%281%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%2F4%29%2A%28%28ab%29%5E5%29+ ALIGN=MIDDLE  ALT=\"+%289%2F4%29%2A%28%28ab%29%5E5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );