document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147996>Question 147996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply the fraction:\r<BR>\n" );
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document.write( "[8x(y^5)/5x^3(y^2)] . [15y^2/16x(y^3)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108382 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=108382\">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%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29\"   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%282%2A2%2A2%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay%29%2F%285%2Ax%2Ax%2Ax%2Ay%2Ay%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288xy%5E5%29%2F%285x%5E3y%5E2%29 ALIGN=MIDDLE  ALT=\"%288xy%5E5%29%2F%285x%5E3y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8xy%5E5=2%2A2%2A2%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay ALIGN=MIDDLE  ALT=\"8xy%5E5=2%2A2%2A2%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E3y%5E2=5%2Ax%2Ax%2Ax%2Ay%2Ay ALIGN=MIDDLE  ALT=\"5x%5E3y%5E2=5%2Ax%2Ax%2Ax%2Ay%2Ay\"   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%282%2A2%2A2%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay%29%2F%285%2Ax%2Ax%2Ax%2Ay%2Ay%29%29%28%283%2A5%2Ay%2Ay%29%2F%282%2A2%2A2%2A2%2Ax%2Ay%2Ay%2Ay%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815y%5E2%29%2F%2816xy%5E3%29 ALIGN=MIDDLE  ALT=\"%2815y%5E2%29%2F%2816xy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15y%5E2=3%2A5%2Ay%2Ay ALIGN=MIDDLE  ALT=\"15y%5E2=3%2A5%2Ay%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16xy%5E3=2%2A2%2A2%2A2%2Ax%2Ay%2Ay%2Ay ALIGN=MIDDLE  ALT=\"16xy%5E3=2%2A2%2A2%2A2%2Ax%2Ay%2Ay%2Ay\"   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%28highlight%282%29%2Ahighlight%282%29%2Ahighlight%282%29%2Ahighlight%28x%29%2Ahighlight%28y%29%2Ahighlight%28y%29%2Ahighlight%28y%29%2Ay%2Ay%29%2F%28highlight%285%29%2Ax%2Ax%2Ax%2Ahighlight%28y%29%2Ahighlight%28y%29%29%29%28%283%2Ahighlight%285%29%2Ahighlight%28y%29%2Ahighlight%28y%29%29%2F%28highlight%282%29%2Ahighlight%282%29%2Ahighlight%282%29%2A2%2Ahighlight%28x%29%2Ahighlight%28y%29%2Ahighlight%28y%29%2Ahighlight%28y%29%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%28cross%282%29%2Across%282%29%2Across%282%29%2Across%28x%29%2Across%28y%29%2Across%28y%29%2Across%28y%29%2Ay%2Ay%29%2F%28cross%285%29%2Ax%2Ax%2Ax%2Across%28y%29%2Across%28y%29%29%29%28%283%2Across%285%29%2Across%28y%29%2Across%28y%29%29%2F%28cross%282%29%2Across%282%29%2Across%282%29%2A2%2Across%28x%29%2Across%28y%29%2Across%28y%29%2Across%28y%29%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%28y%2Ay%29%2F%28x%2Ax%2Ax%29%29%28%283%29%2F%282%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2Ay%29%2F%28x%2Ax%2Ax%29%29%28%283%29%2F%282%29%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=%28%28y%2Ay%29%283%29%29%2F%28%28x%2Ax%2Ax%29%282%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2Ay%29%283%29%29%2F%28%28x%2Ax%2Ax%29%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%5E2%29%2F%282x%5E3%29 ALIGN=MIDDLE  ALT=\"%283y%5E2%29%2F%282x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ay%5E2%29%2F%282%2Ax%5E3%29 ALIGN=MIDDLE  ALT=\"%283%2Ay%5E2%29%2F%282%2Ax%5E3%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%288xy%5E5%29%2F%285x%5E3y%5E2%29%29%28%2815y%5E2%29%2F%2816xy%5E3%29%29=%283%2Ay%5E2%29%2F%282%2Ax%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E0 ALIGN=MIDDLE  ALT=\"y%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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