document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150455>Question 150455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (c^-1)^-12(c^-5)^6/(c^-4)^0(c^3)^-3\r<BR>\n" );
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document.write( "answer 1/c^9\r<BR>\n" );
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document.write( "How do I get there? I am so lost! please help<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 #110410 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=110410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break this problem down.\r<BR>\n" );
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document.write( "First let's simplify the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-1%29%29%5E%28-12%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-1%29%29%5E%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first term in the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28%28-1%29%28-12%29%29 ALIGN=MIDDLE  ALT=\"c%5E%28%28-1%29%28-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%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=c%5E%2812%29 ALIGN=MIDDLE  ALT=\"c%5E%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply -1 and -12 to get 12\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-1%29%29%5E%28-12%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-1%29%29%5E%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%2812%29 ALIGN=MIDDLE  ALT=\"c%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=%28c%5E%28-5%29%29%5E%286%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-5%29%29%5E%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second term in the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28%28-5%29%286%29%29 ALIGN=MIDDLE  ALT=\"c%5E%28%28-5%29%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%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=c%5E%28-30%29 ALIGN=MIDDLE  ALT=\"c%5E%28-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply -5 and 6 to get -30\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-5%29%29%5E%286%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-5%29%29%5E%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-30%29 ALIGN=MIDDLE  ALT=\"c%5E%28-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28c%5E%28-1%29%29%5E%28-12%29%28c%5E%28-5%29%29%5E%286%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > now becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%2812%29c%5E%28-30%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%29c%5E%28-30%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's simplify the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-4%29%29%5E%280%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-4%29%29%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first term in the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28%28-4%29%280%29%29 ALIGN=MIDDLE  ALT=\"c%5E%28%28-4%29%280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%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=c%5E%280%29 ALIGN=MIDDLE  ALT=\"c%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply -4 and 0 to get 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise c to the zeroth power to get 1\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-4%29%29%5E%280%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-4%29%29%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"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=%28c%5E%283%29%29%5E%28-3%29 ALIGN=MIDDLE  ALT=\"%28c%5E%283%29%29%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second term in the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28%283%29%28-3%29%29 ALIGN=MIDDLE  ALT=\"c%5E%28%283%29%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28y%29%29%5Ez=x%5E%28y%2Az%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=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 3 and -3 to get -9\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%283%29%29%5E%28-3%29 ALIGN=MIDDLE  ALT=\"%28c%5E%283%29%29%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So after simplification, we go from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%2812%29c%5E%28-30%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%29c%5E%28-30%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%2812%29c%5E%28-30%29%29%2F%28%281%29c%5E%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%29c%5E%28-30%29%29%2F%28%281%29c%5E%28-9%29%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=%28c%5E%2812%29c%5E%28-30%29%29%2F%28%281%29c%5E%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%29c%5E%28-30%29%29%2F%28%281%29c%5E%28-9%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=%28c%5E%2812%29c%5E%28-30%29%29%2F%28c%5E%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%29c%5E%28-30%29%29%2F%28c%5E%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 1 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%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=%28c%5E%2812%2B%28-30%29%29%29%2F%28c%5E%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%2812%2B%28-30%29%29%29%2F%28c%5E%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the terms in the numerator by adding the exponents.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E%28-18%29%29%2F%28c%5E%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28c%5E%28-18%29%29%2F%28c%5E%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 12 to -30 to get -18\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-18-%28-9%29%29 ALIGN=MIDDLE  ALT=\"c%5E%28-18-%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide the terms by subtracting the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-18%2B9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-18%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18-%28-9%29 ALIGN=MIDDLE  ALT=\"-18-%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18%2B9 ALIGN=MIDDLE  ALT=\"-18%2B9\"   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=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add -18 to 9 to get -9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28c%5E%289%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28c%5E%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-9%29 ALIGN=MIDDLE  ALT=\"c%5E%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28c%5E%289%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28c%5E%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make the exponent positive.\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%28c%5E%28-1%29%29%5E%28-12%29%28c%5E%28-5%29%29%5E%286%29%29%2F%28%28c%5E-4%29%5E%280%29%28c%5E3%29%5E%28-3%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%28c%5E%289%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28c%5E%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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