document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119828>Question 119828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write in simplest form.  7x^10/21x^18    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87816 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=87816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%5E10%29%2F%2821x%5E18%29 ALIGN=MIDDLE  ALT=\"%287x%5E10%29%2F%2821x%5E18%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=x%5E%2810-18%29 ALIGN=MIDDLE  ALT=\"x%5E%2810-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Remember when you divide monomials, you subtract their corresponding exponents. For instance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fx%5E3=x%5E%282-3%29=x%5E-1\"   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-8 ALIGN=MIDDLE  ALT=\"%281%2F3%29x%5E-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.  Remember to reduce the coefficients (which are numbers in front of the variables) to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F21=1%2F3 ALIGN=MIDDLE  ALT=\"7%2F21=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%29%281%2Fx%5E8%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%281%2Fx%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E-8 ALIGN=MIDDLE  ALT=\"x%5E-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E8 ALIGN=MIDDLE  ALT=\"1%2Fx%5E8\"   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%2F3x%5E8 ALIGN=MIDDLE  ALT=\"1%2F3x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\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=%287x%5E10%29%2F%2821x%5E18%29 ALIGN=MIDDLE  ALT=\"%287x%5E10%29%2F%2821x%5E18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3x%5E8 ALIGN=MIDDLE  ALT=\"1%2F3x%5E8\"   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=%287x%5E10%29%2F%2821x%5E18%29=1%2F3x%5E8 ALIGN=MIDDLE  ALT=\"%287x%5E10%29%2F%2821x%5E18%29=1%2F3x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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