document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252984>Question 252984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation ((( -5y^4(y^5)^2  over 15y^7(y^2)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185198 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your formula is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29 ALIGN=MIDDLE  ALT=\"%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29\"   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=%28y%5E5%29%5E2+=+y%5E%285%2A2%29+=+y%5E10 ALIGN=MIDDLE  ALT=\"%28y%5E5%29%5E2+=+y%5E%285%2A2%29+=+y%5E10\"   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=-5%2Ay%5E4%2Ay%5E10+=+-5%2Ay%5E%284%2B10%29+=+-5%2Ay%5E14 ALIGN=MIDDLE  ALT=\"-5%2Ay%5E4%2Ay%5E10+=+-5%2Ay%5E%284%2B10%29+=+-5%2Ay%5E14\"   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=%28y%5E2%29%5E3+=+y%5E%282%2A3%29+=+y%5E6 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%5E3+=+y%5E%282%2A3%29+=+y%5E6\"   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=15%2Ay%5E7%2Ay%5E6+=+15%2Ay%5E%287%2B6%29+=+15%2Ay%5E%2813%29 ALIGN=MIDDLE  ALT=\"15%2Ay%5E7%2Ay%5E6+=+15%2Ay%5E%287%2B6%29+=+15%2Ay%5E%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2Ay%5E14%29%2F%2815%2Ay%5E13%29 ALIGN=MIDDLE  ALT=\"%28-5%2Ay%5E14%29%2F%2815%2Ay%5E13%29\"   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=y%5E14%2Fy%5E13+=+y%5E%2814-13%29+=+y ALIGN=MIDDLE  ALT=\"y%5E14%2Fy%5E13+=+y%5E%2814-13%29+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2Ay%29%2F%2815%29 ALIGN=MIDDLE  ALT=\"%28-5%2Ay%29%2F%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%2F3 ALIGN=MIDDLE  ALT=\"-y%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to confirm, let y be any value.\r<BR>\n" );
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document.write( "try 5.\r<BR>\n" );
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document.write( "original equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29 ALIGN=MIDDLE  ALT=\"%28-5y%5E4%2A%28y%5E5%29%5E2%29+%2F+%2815y%5E7%2A%28y%5E2%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when y = 5, this equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2A%285%29%5E4%2A%28%285%29%5E5%29%5E2%29+%2F+%2815%2A%285%29%5E7%2A%28%285%29%5E2%29%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3.051757813%5E10+%2F+1.831054688%5E10+=+-1.6666666667+=+-5%2F3 ALIGN=MIDDLE  ALT=\"-3.051757813%5E10+%2F+1.831054688%5E10+=+-1.6666666667+=+-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "final equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%2F3 ALIGN=MIDDLE  ALT=\"-y%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%285%29%2F3 ALIGN=MIDDLE  ALT=\"-%285%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the answers are the same confirming the final equation is equivalent to the original equation.\r<BR>\n" );
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