document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338164>Question 338164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> reduce the rational expression to lowest terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-r%5E8s%5E2%29%2F%28r%5E5s%5E7%29 ALIGN=MIDDLE  ALT=\"%28-r%5E8s%5E2%29%2F%28r%5E5s%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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 #242445 by </B><A HREF=/tutors/aboutme.mpl?userid=katealdridge><B>katealdridge(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=katealdridge><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/cgi-bin/show-face.mpl?user=katealdridge><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=242445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the same variable is divided with different exponents, you subtract the exponent number: top-bottom.  If the exponent number becomes negative, then move the variable to the bottom of the fraction and change the negative exponent to a positive one.  So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-r%5E8%29%2F%28r%5E5%29=-r%5E3 ALIGN=MIDDLE  ALT=\"%28-r%5E8%29%2F%28r%5E5%29=-r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > because you subtract 8-5 to get 3.  The negative in front of the r does not affect the exponents.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2%2Fs%5E7=s%5E-5 ALIGN=MIDDLE  ALT=\"s%5E2%2Fs%5E7=s%5E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > but this is not the accepted way to leave your answer.  Your answer must not have any negative exponents in it.  So you change <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E-5 ALIGN=MIDDLE  ALT=\"s%5E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fs%5E5 ALIGN=MIDDLE  ALT=\"1%2Fs%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Put it all together and you get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-r%5E3%29%2F%28s%5E5%29 ALIGN=MIDDLE  ALT=\"%28-r%5E3%29%2F%28s%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you have any further questions please check out my facebook page: Kate Calendrillo, tutor.  I'd be happy to answer your questions.  If you are satisfied with my response, please \"like\" my page on facebook. </SPAN>\n" );
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