document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203101>Question 203101</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132337223/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> {{cube root of 108x^3y^7/2y^3}} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153233 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=153233\">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=root%283%2C%28108x%5E3y%5E7%29%2F%282y%5E3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28108x%5E3y%5E7%29%2F%282y%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%2854x%5E3y%5E7%29%2F%28y%5E3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%2854x%5E3y%5E7%29%2F%28y%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce the coefficients.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C54x%5E3y%5E%287-3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C54x%5E3y%5E%287-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide the common variable terms by subtracting the exponents.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C54x%5E3y%5E4%29 ALIGN=MIDDLE  ALT=\"root%283%2C54x%5E3y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C27%2A2x%5E3y%5E4%29 ALIGN=MIDDLE  ALT=\"root%283%2C27%2A2x%5E3y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 54 into 27*2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C27%2A2x%5E3y%5E3%2Ay%29 ALIGN=MIDDLE  ALT=\"root%283%2C27%2A2x%5E3y%5E3%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E4 ALIGN=MIDDLE  ALT=\"y%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3%2Ay ALIGN=MIDDLE  ALT=\"y%5E3%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C27%29%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2C2%29%2Aroot%283%2Cx%5E3%29%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of 27 to get 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aroot%283%2C2%29%2Ax%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2C2%29%2Ax%2Aroot%283%2Cy%5E3%29%2Aroot%283%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \"x\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aroot%283%2C2%29%2Ax%2Ay%2Aroot%283%2Cy%29 ALIGN=MIDDLE  ALT=\"3%2Aroot%283%2C2%29%2Ax%2Ay%2Aroot%283%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3 ALIGN=MIDDLE  ALT=\"y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \"y\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3xy%2Aroot%283%2C2y%29 ALIGN=MIDDLE  ALT=\"3xy%2Aroot%283%2C2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms and combine the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28108x%5E3y%5E7%29%2F%282y%5E3%29%29=3xy%2Aroot%283%2C2y%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28108x%5E3y%5E7%29%2F%282y%5E3%29%29=3xy%2Aroot%283%2C2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E0 ALIGN=MIDDLE  ALT=\"y%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );