document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40368>Question 40368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify and write with positive exponents only\r<BR>\n" );
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document.write( "(x^2)^-3(x^-2) divided by (x^2)-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26033 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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=26033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify and write with positive exponents only<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%5E-3%28x%5E-2%29%2F%28x%5E2%29%5E-4 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E-3%28x%5E-2%29%2F%28x%5E2%29%5E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First we can simplify the numerator and the denominator by using the rules for multiplying exponents.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E-6%29%28x%5E-2%29%2F%28x%5E-8%29 ALIGN=MIDDLE  ALT=\"%28x%5E-6%29%28x%5E-2%29%2F%28x%5E-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then we can add the exponents in the numerator...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E-8%29%2F%28x%5E-8%29 ALIGN=MIDDLE  ALT=\"%28x%5E-8%29%2F%28x%5E-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then we perform the indicated operation...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E-8%29%2F%28x%5E-8%29=+1 ALIGN=MIDDLE  ALT=\"%28x%5E-8%29%2F%28x%5E-8%29=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The final result is 1<BR>\n" );
document.write( "I hope this helps<BR>\n" );
document.write( "Good Luck!<BR>\n" );
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