document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82701>Question 82701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify by writing with only positive exponents\r<BR>\n" );
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document.write( "(x^2)^-3(x^-2)<BR>\n" );
document.write( "______________<BR>\n" );
document.write( "(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 #59528 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify by writing with only positive exponents <BR>\n" );
document.write( "(x^2)^-3(x^-2)<BR>\n" );
document.write( "______________<BR>\n" );
document.write( "(x^2)^-4\r<BR>\n" );
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document.write( "Lets first look at each term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%29%5E%28-3%29%29=x%5E%28-6%29=1%2Fx%5E6 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%29%5E%28-3%29%29=x%5E%28-6%29=1%2Fx%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-2%29%29=x%5E%28-2%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E%28-2%29%29=x%5E%28-2%29=1%2Fx%5E2\"   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%5E2%29%5E%28-4%29=x%5E%28-8%29=1%2Fx%5E8 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E%28-4%29=x%5E%28-8%29=1%2Fx%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can now write the expression as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%5E6%29%281%2Fx%5E2%29%2F%281%2Fx%5E8%29 ALIGN=MIDDLE  ALT=\"%281%2Fx%5E6%29%281%2Fx%5E2%29%2F%281%2Fx%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which equals\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%5E8%29%2F%281%2Fx%5E8%29=1 ALIGN=MIDDLE  ALT=\"%281%2Fx%5E8%29%2F%281%2Fx%5E8%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-6%29%29%28x%28-2%29%29%2Fx%28-8%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28-6%29%29%28x%28-2%29%29%2Fx%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this equals\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-8%29%2Fx%5E%28-8%29=1 ALIGN=MIDDLE  ALT=\"x%5E%28-8%29%2Fx%5E%28-8%29=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=1=1 ALIGN=MIDDLE  ALT=\"1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When multiplying, you add exponents;  when raising to a power, you multiply exponents.\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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