document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182313>Question 1182313</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Simplify using exponent rules. Write the answer with positive exponents only. \r<BR>\n" );
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document.write( "https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812299 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=812299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The given expression:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E3y%5E2z%5E%28-5%29%29%283x%5E2z%5E9%29%29%2F%284x%5E5y%5E%28-4%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28%282x%5E3y%5E2z%5E%28-5%29%29%283x%5E2z%5E9%29%29%2F%284x%5E5y%5E%28-4%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There is nothing wrong with the solution shown by the other tutor; all the steps are mathematically correct.<br><BR>\n" );
document.write( "However, that formal path to the answer gets pretty messy....<br><BR>\n" );
document.write( "I would simplify the expression by looking at the constants and each variable separately and combining the pieces.<br><BR>\n" );
document.write( "(1) Constants: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%283%29%29%2F4%5E2+=+3%2F8 ALIGN=MIDDLE  ALT=\"%28%282%29%283%29%29%2F4%5E2+=+3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(2) x: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E3%29%28x%5E2%29%29%2Fx%5E10+=+1%2Fx%5E5 ALIGN=MIDDLE  ALT=\"%28%28x%5E3%29%28x%5E2%29%29%2Fx%5E10+=+1%2Fx%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(3) y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fy%5E%28-8%29+=+y%5E10 ALIGN=MIDDLE  ALT=\"y%5E2%2Fy%5E%28-8%29+=+y%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(4) z: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E%28-5%29%29%28z%5E9%29=z%5E4 ALIGN=MIDDLE  ALT=\"%28z%5E%28-5%29%29%28z%5E9%29=z%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Put them together....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%28y%5E10%29%28z%5E4%29%29%2F%288x%5E5%29 ALIGN=MIDDLE  ALT=\"%283%28y%5E10%29%28z%5E4%29%29%2F%288x%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );