document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84755>Question 84755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tutor: Can you help me:  How do I simplify this expression using positive exponents?  \r<BR>\n" );
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document.write( "(-2a^-4b^2c^-7) (3^-2a^-2b^-5c^9)\r<BR>\n" );
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document.write( "I started by  -2*9 a^-6b^-3c^2    -18c^2/a^6b^3\r<BR>\n" );
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document.write( "but I got confused about dividing!\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61067 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tutor: Can you help me: How do I simplify this expression using positive exponents? <BR>\n" );
document.write( "(-2a^-4b^2c^-7) (3^-2a^-2b^-5c^9) <BR>\n" );
document.write( "I started by -2*9 a^-6b^-3c^2 -18c^2/a^6b^3 <BR>\n" );
document.write( "but I got confused about dividing! <BR>\n" );
document.write( "Thank you!\r<BR>\n" );
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document.write( "Tutor: Can you help me: How do I simplify this expression using positive exponents? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2a%5E%28-4%29b%5E2c%5E%28-7%29%29 ALIGN=MIDDLE  ALT=\"%28-2a%5E%28-4%29b%5E2c%5E%28-7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E%28-2%29a%5E%28-2%29b%5E%28-5%29c%5E9%29 ALIGN=MIDDLE  ALT=\"%283%5E%28-2%29a%5E%28-2%29b%5E%28-5%29c%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Put a 1 under each expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2a%5E%28-4%29b%5E2c%5E%28-7%29%29%2F1 ALIGN=MIDDLE  ALT=\"+%28-2a%5E%28-4%29b%5E2c%5E%28-7%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E%28-2%29a%5E%28-2%29b%5E%28-5%29c%5E9%29%2F1 ALIGN=MIDDLE  ALT=\"%283%5E%28-2%29a%5E%28-2%29b%5E%28-5%29c%5E9%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the first expression,<BR>\n" );
document.write( "Bring the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-4%29 ALIGN=MIDDLE  ALT=\"a%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the top to the bottom as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E4 ALIGN=MIDDLE  ALT=\"a%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bring the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E%28-7%29 ALIGN=MIDDLE  ALT=\"c%5E%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the top to the bottom as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E7 ALIGN=MIDDLE  ALT=\"c%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the second expression,<BR>\n" );
document.write( "Bring the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28-2%29 ALIGN=MIDDLE  ALT=\"3%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the top to the bottom as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bring the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-2%29 ALIGN=MIDDLE  ALT=\"a%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the top to the bottom as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bring the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28-5%29 ALIGN=MIDDLE  ALT=\"b%5E%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the top to the bottom as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E5 ALIGN=MIDDLE  ALT=\"b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Leave all the factors with positive exponents on top:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2b%5E2%29%2F%281%2Aa%5E4c%5E7%29 ALIGN=MIDDLE  ALT=\"%28-2b%5E2%29%2F%281%2Aa%5E4c%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9%2F%281%2A3%5E2a%5E2b%5E5%29 ALIGN=MIDDLE  ALT=\"c%5E9%2F%281%2A3%5E2a%5E2b%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Erase the 1's on the bottom of the fractions and<BR>\n" );
document.write( "Change the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   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=%28-2b%5E2%29%2F%28a%5E4c%5E7%29 ALIGN=MIDDLE  ALT=\"%28-2b%5E2%29%2F%28a%5E4c%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9%2F%289a%5E2b%5E5%29 ALIGN=MIDDLE  ALT=\"c%5E9%2F%289a%5E2b%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Indicate the multiplication of the tops and the bottoms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2b%5E2c%5E9%29%2F%28a%5E4c%5E7%2A9a%5E2b%5E5%29 ALIGN=MIDDLE  ALT=\"%28-2b%5E2c%5E9%29%2F%28a%5E4c%5E7%2A9a%5E2b%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the exponents of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E4 ALIGN=MIDDLE  ALT=\"a%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the bottom<BR>\n" );
document.write( "to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E6 ALIGN=MIDDLE  ALT=\"a%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and write the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > factor first:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2b%5E2c%5E9%29%2F%289a%5E6c%5E7b%5E5%29 ALIGN=MIDDLE  ALT=\"%28-2b%5E2c%5E9%29%2F%289a%5E6c%5E7b%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now subtract the exponents of the b's, larger - smaller,<BR>\n" );
document.write( "that is, 5-2=3 and place <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E3 ALIGN=MIDDLE  ALT=\"b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the bottom because the<BR>\n" );
document.write( "larger exponent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E5 ALIGN=MIDDLE  ALT=\"b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > was on the bottom:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2c%5E9%29%2F%289a%5E6c%5E7b%5E3%29 ALIGN=MIDDLE  ALT=\"%28-2c%5E9%29%2F%289a%5E6c%5E7b%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally subtract the exponents of the c's, larger - smaller,<BR>\n" );
document.write( "that is, 9-7=2 and place <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the top because the<BR>\n" );
document.write( "larger exponent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E9 ALIGN=MIDDLE  ALT=\"c%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > was on the top:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2c%5E2%29%2F%289a%5E6b%5E3%29 ALIGN=MIDDLE  ALT=\"%28-2c%5E2%29%2F%289a%5E6b%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Edwin </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );