document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102574>Question 1102574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify, and write without negative exponents.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282p%5E%28-7%29z%5E3%29%2F%283q%5E%28-2%29x%5E%28-4%29%29%29%5E-1 ALIGN=MIDDLE  ALT=\"%28%282p%5E%28-7%29z%5E3%29%2F%283q%5E%28-2%29x%5E%28-4%29%29%29%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<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 #717376 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=717376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are dozens of paths you could follow to simplify an expression like this....<br><BR>\n" );
document.write( "Since all of the variables occur only once each, I would simplify the expression in one step by considering each variable separately.<br><BR>\n" );
document.write( "Specifically, I would \"distribute\" the -1 exponent on the expression in parentheses to each factor inside the parentheses; then if the resulting exponent is positive I would leave that factor where it is (numerator or denominator), and if the resulting exponent is negative I would move that factor to the other part of the fraction.<br><BR>\n" );
document.write( "2 in the numerator: the exponent is 1; multiplied by -1 is -1; the  2 moves to the denominator<BR>\n" );
document.write( "p^-7 in the numerator: -7 times -1 is +7; the p^7 stays in the numerator<BR>\n" );
document.write( "z^3 in the numerator: 3 times -1 is -3; the z^3 moves to the denominator<BR>\n" );
document.write( "3 in the denominator: the exponent is 1; multiplied by -1 is -1; the 3 moves to the numerator<BR>\n" );
document.write( "q^-2 in the denominator: -2 times -1 is +2; the q^2 stays in the denominator<BR>\n" );
document.write( "x^-4 in the denominator: -4 times -1 is +4; the x^4 stays in the denominator<br><BR>\n" );
document.write( "My result is p^7, 3, q^2, and x^4 in the numerator, and 2 and z^3 in the denominator:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%5E7%2F2q%5E2x%5E4z%5E3 ALIGN=MIDDLE  ALT=\"3p%5E7%2F2q%5E2x%5E4z%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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