document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169632>Question 169632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify (x-2y8z)-5<BR>\n" );
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document.write( "          (x-4y9z)-4\r<BR>\n" );
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document.write( "Numbers are all exponents </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125008 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=125008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: \r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E%28-4%29y%5E%289%29z%29%5E%28-4%29=%28x%5E%28-4%29y%5E%289%29z%29%5E%284%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E%28-4%29y%5E%289%29z%29%5E%28-4%29=%28x%5E%28-4%29y%5E%289%29z%29%5E%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, we just flip the fractions\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E%28-4%29y%5E%289%29z%29%5E%284%29%29%2F%28%28x%5E%28-2%29y%5E%288%29z%29%5E5%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E%28-4%29y%5E%289%29z%29%5E%284%29%29%2F%28%28x%5E%28-2%29y%5E%288%29z%29%5E5%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=%28x%5E%28-4%2A4%29y%5E%289%2A4%29z%5E%281%2A4%29%29%2F%28x%5E%28-2%2A5%29y%5E%288%2A5%29z%5E%281%2A5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-16%29y%5E%2836%29z%5E%284%29%29%2F%28x%5E%28-10%29y%5E%2840%29z%5E%285%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28-16%29y%5E%2836%29z%5E%284%29%29%2F%28x%5E%28-10%29y%5E%2840%29z%5E%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-16--10%29y%5E%2836-40%29z%5E%284-5%29 ALIGN=MIDDLE  ALT=\"x%5E%28-16--10%29y%5E%2836-40%29z%5E%284-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the exponents\r<BR>\n" );
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document.write( "For example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-16%29%29%2F%28x%5E%28-10%29%29=x%5E%28-16--10%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28-16%29%29%2F%28x%5E%28-10%29%29=x%5E%28-16--10%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=x%5E%28-16%2B10%29y%5E%2836-40%29z%5E%284-5%29 ALIGN=MIDDLE  ALT=\"x%5E%28-16%2B10%29y%5E%2836-40%29z%5E%284-5%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=x%5E%28-6%29y%5E%28-4%29z%5E%28-1%29 ALIGN=MIDDLE  ALT=\"x%5E%28-6%29y%5E%28-4%29z%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%5E%286%29%29%281%2Fy%5E%284%29%29%281%2Fz%5E%281%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fx%5E%286%29%29%281%2Fy%5E%284%29%29%281%2Fz%5E%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the variables with negative exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E6y%5E4z%5E1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E6y%5E4z%5E1%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=1%2F%28x%5E6y%5E4z%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E6y%5E4z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\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%28x%5E%28-2%29y%5E%288%29z%29%5E%28-5%29%29%2F%28%28x%5E%28-4%29y%5E%289%29z%29%5E%28-4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E6y%5E4z%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E6y%5E4z%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%28x%5E%28-2%29y%5E%288%29z%29%5E%28-5%29%29%2F%28%28x%5E%28-4%29y%5E%289%29z%29%5E%28-4%29%29=1%2F%28x%5E6y%5E4z%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where no variables can be equal to zero. </SPAN>\n" );
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