document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012129>Question 1012129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify this:\r<BR>\n" );
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document.write( "6th root of 256.  \r<BR>\n" );
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document.write( "I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2\r<BR>\n" );
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document.write( "sorry, I don't know how to put the math symbols in this application.  Thank you in advance for the help.  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628019 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Please help me simplify this:\r<BR>\n" );
document.write( "\n" );
document.write( "6th root of 256.  \r<BR>\n" );
document.write( "\n" );
document.write( "I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2\r<BR>\n" );
document.write( "\n" );
document.write( "sorry, I don't know how to put the math symbols in this application.  Thank you in advance for the help.  <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root+%286%2C+256%29 ALIGN=MIDDLE  ALT=\"root+%286%2C+256%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root+%286%2C+2%5E8%29 ALIGN=MIDDLE  ALT=\"root+%286%2C+2%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root+%286%2C+2%5E6+%2A+2%5E2%29 ALIGN=MIDDLE  ALT=\"root+%286%2C+2%5E6+%2A+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+root+%28cross%286%29%2C+cross%282%5E6%29+%2A+2%5E2%29 ALIGN=MIDDLE  ALT=\"2+%2A+root+%28cross%286%29%2C+cross%282%5E6%29+%2A+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282+%2A+root+%286%2C+2%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%282+%2A+root+%286%2C+2%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <-------> This is what you got, which is correct. The thing though, is that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root+%286%2C+2%5E2%29 ALIGN=MIDDLE  ALT=\"root+%286%2C+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%282%5E%281%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%282%5E%281%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%282%5E%281%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%282%5E%281%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root+%283%2C+2%29 ALIGN=MIDDLE  ALT=\"root+%283%2C+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282+%2A+root+%286%2C+%282%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%282+%2A+root+%286%2C+%282%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282+%2A+root+%283%2C+2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%282+%2A+root+%283%2C+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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