document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647659>Question 647659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with how to work out this question:\r<BR>\n" );
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document.write( "By letting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+y+=+x%5E%281%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or otherwise, find the values of x for which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+ ALIGN=MIDDLE  ALT=\"+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "I have the answers (-1 and 8) in the back of my textbook but I am unsure of how to deal with negative fractional indices in this case, and I have to show my working out in my answer so please could you show me how to work this out! \r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406328 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=406328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok let assume \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+y+=+x%5E%281%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....1 \r<BR>\n" );
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document.write( "then \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+ ALIGN=MIDDLE  ALT=\"+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....1 <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+ ALIGN=MIDDLE  ALT=\"+x%5E%281%2F3%29+-+2x%5E%28-1%2F3%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....1 ...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >..\r<BR>\n" );
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document.write( "note, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-n%29+ ALIGN=MIDDLE  ALT=\"a%5E%28-n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%5En ALIGN=MIDDLE  ALT=\"1%2Fa%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > we will have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx%5E3+-+2%281%2Fx%5E3%29+=+1+ ALIGN=MIDDLE  ALT=\"+1%2Fx%5E3+-+2%281%2Fx%5E3%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  .......then replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E1%2F3 ALIGN=MIDDLE  ALT=\"x%5E1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then you get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+2%281%2Fy%29+=+1+ ALIGN=MIDDLE  ALT=\"+y+-+2%281%2Fy%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y%5E2+-+2%29%2Fy+=+1+ ALIGN=MIDDLE  ALT=\"+%28y%5E2+-+2%29%2Fy+=+1+\"   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%5E2+-+2+=+y+ ALIGN=MIDDLE  ALT=\"+y%5E2+-+2+=+y+\"   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%5E2+-y-+2+=+0+ ALIGN=MIDDLE  ALT=\"+y%5E2+-y-+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...from this we can get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29+%28y%2B1%29+=+0 ALIGN=MIDDLE  ALT=\"%28y-2%29+%28y%2B1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we can get value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2+=+0 ALIGN=MIDDLE  ALT=\"y-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2 ALIGN=MIDDLE  ALT=\"y+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1+=+0 ALIGN=MIDDLE  ALT=\"y%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1 ALIGN=MIDDLE  ALT=\"y+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " continue to put the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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+=+x%5E1%2F3 ALIGN=MIDDLE  ALT=\"y+=+x%5E1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "assume <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2 ALIGN=MIDDLE  ALT=\"y+=+2\"   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=x%5E1%2F3+=+2 ALIGN=MIDDLE  ALT=\"x%5E1%2F3+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%5E3 ALIGN=MIDDLE  ALT=\"x+=+2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+8%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "assume <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-1 ALIGN=MIDDLE  ALT=\"y+=+-1\"   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=x%5E1%2F3+=+-1 ALIGN=MIDDLE  ALT=\"x%5E1%2F3+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%5E3 ALIGN=MIDDLE  ALT=\"x+=+-1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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