document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180869>Question 1180869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve 3^0x^-3y over 2x^-1y^-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810665 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Of course it is valid to simplify the expression by replacing each factor with a negative exponent with a reciprocal -- e.g., x^(-2) gets replaced with 1/x^2 and y^(-1) gets replaced with 1/y.<br><BR>\n" );
document.write( "But that creates fractions within fractions, which are awkward to work with.<br><BR>\n" );
document.write( "I think it is far easier to use a simple rule, when simplifying an expression like this, that says each factor with a negative exponent gets moved to the other part of the fraction with a positive exponent.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%5E0%29%28x%5E%28-3%29%29%28y%29%29%2F%28%282%29%28x%5E%28-1%29%29%28y%5E%28-2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Of course the 3^0 is 1.  Then the x^(-3) in the numerator becomes x^3 in the denominator; the x^(-1) in the denominator becomes x in the numerator, and the y^-2 becomes y^2 in the numerator:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%29%28x%29%28y%5E2%29%28y%29%29%2F%28%282%29%28x%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%281%29%28x%29%28y%5E2%29%28y%29%29%2F%28%282%29%28x%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then simplify from there if, as in this case, there are still like factors in the numerator and denominator.<br><BR>\n" );
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document.write( " </SPAN>\n" );
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