document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903885>Question 903885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Where is my mistake?<BR>\n" );
document.write( "This is the problem (where the image cut off, the power is 1/3):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%28root%28+5%2C+x+%29+%2A+x%5E2+%2A+x%5E%281%2F3%29+%29+-+%28+root%28+15%2C+x%5E2+%29%5E2+%2A+x+%29+%29+%2F+root%28+15%2C+x%5E19+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is my solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%29%5E%281%2F5%29%2A%28x%29%5E2%2A%28x%29%5E%281%2F3%29%29+-+%28%28%28x%29%5E%282%2F15%29%29%5E2%29+%2A+x%2A%28x%29%5E%28-19%2F15%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Power = 38/15..............Power = -15/15<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%29%5E%2838%2F15%29%29+-+%28%28x%29%5E%28-15%2F15%29%2A+x%29+ ALIGN=MIDDLE  ALT=\"%28%28x%29%5E%2838%2F15%29%29+-+%28%28x%29%5E%28-15%2F15%29%2A+x%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=%28x%29%5E%2838%2F15%29-1 ALIGN=MIDDLE  ALT=\"%28x%29%5E%2838%2F15%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The right solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%2815%2Cx%5E19%29+-+1 ALIGN=MIDDLE  ALT=\"root%2815%2Cx%5E19%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548388 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're very close. In the numerator, you are really dividing all that mess by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%2815%2Cx%5E19%29 ALIGN=MIDDLE  ALT=\"root%2815%2Cx%5E19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put another way, you are multiplying the whole numerator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-19%2F15%29%5E%22%22 ALIGN=MIDDLE  ALT=\"x%5E%28-19%2F15%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So you *should* have\r<BR>\n" );
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document.write( "[ Numerator ]*( x^(-19/15) )\r<BR>\n" );
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document.write( "Meaning that you distribute x^(-19/15) to the two terms inside the numerator. You only multiplied <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28root%28+15%2C+x%5E2+%29%5E2+%2A+x+%29 ALIGN=MIDDLE  ALT=\"+%28root%28+15%2C+x%5E2+%29%5E2+%2A+x+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-19%2F15%29%5E%22%22 ALIGN=MIDDLE  ALT=\"x%5E%28-19%2F15%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "but forgot to multiply the first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%28+5%2C+x+%29+%2A+x%5E2+%2A+x%5E%281%2F3%29%5E%22%22+%29 ALIGN=MIDDLE  ALT=\"%28root%28+5%2C+x+%29+%2A+x%5E2+%2A+x%5E%281%2F3%29%5E%22%22+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by x^(-19/15).\r<BR>\n" );
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document.write( "If you do that step, you will get the answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%2815%2Cx%5E19%29+-+1 ALIGN=MIDDLE  ALT=\"root%2815%2Cx%5E19%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope that helps. If not, then let me know. </SPAN>\n" );
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