document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187053>Question 187053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3+ ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140199 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3+ ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%5E1a%5E2%2Ab%5E3%29%5E2+%2F%28%282%29%5E1a%5E2%2Ab%5E1%29%5E3+ ALIGN=MIDDLE  ALT=\"%28%28-2%29%5E1a%5E2%2Ab%5E3%29%5E2+%2F%28%282%29%5E1a%5E2%2Ab%5E1%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E1 ALIGN=MIDDLE  ALT=\"%28-2%29%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E1 ALIGN=MIDDLE  ALT=\"%282%29%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E1 ALIGN=MIDDLE  ALT=\"b%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%5E%281%2A2%29a%5E%282%2A2%29%2Ab%5E%283%2A2%29%29+%2F%28%282%29%5E%281%2A3%29a%5E%282%2A3%29%2Ab%5E%281%2A3%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the outer exponent by EVERY exponent in the parenthesis\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%5E2a%5E4%2Ab%5E6%29+%2F%28%282%29%5E3a%5E6%2Ab%5E3%29+ ALIGN=MIDDLE  ALT=\"%28%28-2%29%5E2a%5E4%2Ab%5E6%29+%2F%28%282%29%5E3a%5E6%2Ab%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284a%5E4%2Ab%5E6%29+%2F%288a%5E6%2Ab%5E3%29+ ALIGN=MIDDLE  ALT=\"%284a%5E4%2Ab%5E6%29+%2F%288a%5E6%2Ab%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square -2 to get 4. Cube 2 to get 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E4%2Ab%5E6%29+%2F%282a%5E6%2Ab%5E3%29+ ALIGN=MIDDLE  ALT=\"%28a%5E4%2Ab%5E6%29+%2F%282a%5E6%2Ab%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F8 ALIGN=MIDDLE  ALT=\"4%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (these are the coefficients).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E%284-6%29%2Ab%5E%286-3%29%29+%2F%282%29+ ALIGN=MIDDLE  ALT=\"%28a%5E%284-6%29%2Ab%5E%286-3%29%29+%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the exponents to divide the monomials.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E%28-2%29%2Ab%5E3%29+%2F%282%29+ ALIGN=MIDDLE  ALT=\"%28a%5E%28-2%29%2Ab%5E3%29+%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E3%29+%2F%282a%5E2%29+ ALIGN=MIDDLE  ALT=\"%28b%5E3%29+%2F%282a%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the variable that has the negative exponent to make the exponent positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3=%28b%5E3%29+%2F%282a%5E2%29+ ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%5E2+%2F%282a%5E2%2Ab%29%5E3=%28b%5E3%29+%2F%282a%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E0 ALIGN=MIDDLE  ALT=\"a%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3C%3E0 ALIGN=MIDDLE  ALT=\"b%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );