document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150543>Question 150543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify (-2a^2 b^3)^2/(2a^2 b)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110506 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=110506\">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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29%29%2F%282a%5E2%2Ab%29%5E3 ALIGN=MIDDLE  ALT=\"%28%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29%29%2F%282a%5E2%2Ab%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E2%2Ab%5E3%29%5E2 ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29 ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29%29%2F%28%282a%5E2%2Ab%29%282a%5E2%2Ab%29%282a%5E2%2Ab%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%5E2%2Ab%29%5E3 ALIGN=MIDDLE  ALT=\"%282a%5E2%2Ab%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%5E2%2Ab%29%282a%5E2%2Ab%29%282a%5E2%2Ab%29 ALIGN=MIDDLE  ALT=\"%282a%5E2%2Ab%29%282a%5E2%2Ab%29%282a%5E2%2Ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2a%5E2%2Ab%5E3%29%28-2a%5E2%2Ab%5E3%29%29%2F%28%282a%5E2%29%282a%5E2%29%282a%5E2%29%28b%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Collect and combine the three \"b\"s in the denominator to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ab%2Ab=b%5E3 ALIGN=MIDDLE  ALT=\"b%2Ab%2Ab=b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-highlight%282a%5E2%29%2Ahighlight%28b%5E3%29%29%28-highlight%282a%5E2%29%2Ab%5E3%29%29%2F%28highlight%282a%5E2%29highlight%282a%5E2%29%282a%5E2%29highlight%28b%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-cross%282a%5E2%29%2Across%28b%5E3%29%29%28-cross%282a%5E2%29%2Ab%5E3%29%29%2F%28cross%282a%5E2%29cross%282a%5E2%29%282a%5E2%29cross%28b%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-1%29%28-1%29%28b%5E3%29%29%2F%282a%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28-1%29%28-1%29%28b%5E3%29%29%2F%282a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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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;\" > Multiply\r<BR>\n" );
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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 ALIGN=MIDDLE  ALT=\"%28-2a%5E2%2Ab%5E3%29%5E2%2F%282a%5E2%2Ab%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <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;\" > \r<BR>\n" );
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document.write( "In other words, <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" );
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