document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150642>Question 150642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the fifth root of 96x^10? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110576 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=110576\">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%285%2C96x%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C96x%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C96%29%2Aroot%285%2Cx%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C96%29%2Aroot%285%2Cx%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aroot%285%2C3%29%2Aroot%285%2Cx%5E10%29 ALIGN=MIDDLE  ALT=\"2%2Aroot%285%2C3%29%2Aroot%285%2Cx%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C96%29 ALIGN=MIDDLE  ALT=\"root%285%2C96%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Aroot%285%2C3%29 ALIGN=MIDDLE  ALT=\"2%2Aroot%285%2C3%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/rendertex.cgi?\LARGE 2\cdot\sqrt[5]{3}\left(x^{10}\right)^{\frac{1}{5}}\"> Rewrite the radical expression into a rational expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\cdot\sqrt[5]{3}x^{\left(10\right)\left(\frac{1}{5}\right)}\"> Multiply the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\cdot\sqrt[5]{3}x^{\left(\frac{10}{5}\right)}\"> Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\cdot\sqrt[5]{3}x^{2}\"> Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C96x%5E10%29 ALIGN=MIDDLE  ALT=\"root%285%2C96x%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Aroot%285%2C3%29 ALIGN=MIDDLE  ALT=\"2x%5E2%2Aroot%285%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C96x%5E10%29=2x%5E2%2Aroot%285%2C3%29 ALIGN=MIDDLE  ALT=\"root%285%2C96x%5E10%29=2x%5E2%2Aroot%285%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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