document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288386>Question 288386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can't find any lesson that explains solving equations containing a rational exponent on the variable.<BR>\n" );
document.write( "Here's my problem: (there are lessons for more in-depth problems, but I need to learn the simple stuff before moving on to the more complicated stuff)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E%284%2F3%29=81 ALIGN=MIDDLE  ALT=\"%28x%29%5E%284%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x to the 4/3 power=81)<BR>\n" );
document.write( "I used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E%284%2F3%29=81 ALIGN=MIDDLE  ALT=\"%28x%29%5E%284%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E%281%2F3%29=81 ALIGN=MIDDLE  ALT=\"%282x%29%5E%281%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E%282%2F3%29%29%5E%281%2F3%29=81%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"%282x%29%5E%282%2F3%29%29%5E%281%2F3%29=81%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which made<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=%2881%29%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"3x=%2881%29%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then divided by 3, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2827%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x=%2827%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Does this look right?<BR>\n" );
document.write( "I didn't think I was supposed to have any power left afterwards. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209031 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E%284%2F3%29=81 ALIGN=MIDDLE  ALT=\"%28x%29%5E%284%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x to the 4/3 power=81)<BR>\n" );
document.write( "I used<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E%284%2F3%29=81 ALIGN=MIDDLE  ALT=\"%28x%29%5E%284%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E%281%2F3%29=81 ALIGN=MIDDLE  ALT=\"%282x%29%5E%281%2F3%29=81\"   DISABLED_style= \"max-width:90%; height:auto;\" >  **** this is not good<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F3%29+=+3+ ALIGN=MIDDLE  ALT=\"x%5E%281%2F3%29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is better<BR>\n" );
document.write( "Then x = 27<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Also, x = -27<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "There are other solutions with complex numbers, but this is proably sufficient for now.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E%282%2F3%29%29%5E%281%2F3%29=81%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"%282x%29%5E%282%2F3%29%29%5E%281%2F3%29=81%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which made<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=%2881%29%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"3x=%2881%29%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then divided by 3, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2827%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x=%2827%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Does this look right?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );