document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150977>Question 150977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following\r<BR>\n" );
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document.write( "2x^4   &#1770;    5x^2<BR>\n" );
document.write( "10x^7   3x^5<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 #110912 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=110912\">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%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%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%282x%5E4%29%285x%5E2%29%29%2F%28%283x%5E5%29%2810x%5E7%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E4%29%285x%5E2%29%29%2F%28%283x%5E5%29%2810x%5E7%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=%2810x%5E6%29%2F%28%283x%5E5%29%2810x%5E7%29%29 ALIGN=MIDDLE  ALT=\"%2810x%5E6%29%2F%28%283x%5E5%29%2810x%5E7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E4 ALIGN=MIDDLE  ALT=\"2x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E4%29%285x%5E2%29=%282%2A5%29x%5E%284%2B2%29=10x%5E6 ALIGN=MIDDLE  ALT=\"%282x%5E4%29%285x%5E2%29=%282%2A5%29x%5E%284%2B2%29=10x%5E6\"   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=%2810x%5E6%29%2F%2830x%5E%2812%29%29 ALIGN=MIDDLE  ALT=\"%2810x%5E6%29%2F%2830x%5E%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E5 ALIGN=MIDDLE  ALT=\"3x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E7 ALIGN=MIDDLE  ALT=\"10x%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E5%29%2810x%5E7%29=%283%2A10%29x%5E%285%2B7%29=30x%5E%2812%29 ALIGN=MIDDLE  ALT=\"%283x%5E5%29%2810x%5E7%29=%283%2A10%29x%5E%285%2B7%29=30x%5E%2812%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=%281%2F3%29%28x%5E6%2Fx%5E12%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%28x%5E6%2Fx%5E12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide the coefficients <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   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=%281%2F3%29x%5E%286-12%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29x%5E%286-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > When you divide monomials, simply subtract the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x%5E%28-6%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29x%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%281%2Fx%5E6%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%281%2Fx%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-6%29 ALIGN=MIDDLE  ALT=\"x%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E6 ALIGN=MIDDLE  ALT=\"1%2Fx%5E6\"   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=1%2F%283x%5E6%29 ALIGN=MIDDLE  ALT=\"1%2F%283x%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%283x%5E6%29 ALIGN=MIDDLE  ALT=\"1%2F%283x%5E6%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%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%29%29=1%2F%283x%5E6%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E4%29%2F%2810x%5E7%29%29%28%285x%5E2%29%2F%283x%5E5%29%29=1%2F%283x%5E6%29\"   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;\" ><BR>\n" );
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