document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144600>Question 144600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply and simplify by factoring.  Assume that all expressions nder radicals represent nonnegative numbers:\r<BR>\n" );
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document.write( "(^3sqrt(y^10))(^3sqrt(16y^11))\r<BR>\n" );
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document.write( "Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105356 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=105356\">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%2Cy%5E10%29%2Aroot%283%2C16y%5E11%29 ALIGN=MIDDLE  ALT=\"root%283%2Cy%5E10%29%2Aroot%283%2C16y%5E11%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=y%5E3%2Aroot%283%2Cy%29%2Aroot%283%2C16y%5E11%29 ALIGN=MIDDLE  ALT=\"y%5E3%2Aroot%283%2Cy%29%2Aroot%283%2C16y%5E11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cy%5E10%29 ALIGN=MIDDLE  ALT=\"root%283%2Cy%5E10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E3%2Aroot%283%2Cy%29 ALIGN=MIDDLE  ALT=\"y%5E3%2Aroot%283%2Cy%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/plot-formula.mpl?expression=y%5E3%2Aroot%283%2Cy%29%2A2y%5E3%2Aroot%283%2C2y%5E2%29 ALIGN=MIDDLE  ALT=\"y%5E3%2Aroot%283%2Cy%29%2A2y%5E3%2Aroot%283%2C2y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C16y%5E11%29 ALIGN=MIDDLE  ALT=\"root%283%2C16y%5E11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E3%2Aroot%283%2C2y%5E2%29 ALIGN=MIDDLE  ALT=\"2y%5E3%2Aroot%283%2C2y%5E2%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/plot-formula.mpl?expression=2y%5E6%2Aroot%283%2C2y%5E3%29 ALIGN=MIDDLE  ALT=\"2y%5E6%2Aroot%283%2C2y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and combine the roots\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E6%2Ay%2Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"2y%5E6%2Ay%2Aroot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C2y%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C2y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"y%2Aroot%283%2C2%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/plot-formula.mpl?expression=2y%5E7%2Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"2y%5E7%2Aroot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cy%5E10%29%2Aroot%283%2C16y%5E11%29 ALIGN=MIDDLE  ALT=\"root%283%2Cy%5E10%29%2Aroot%283%2C16y%5E11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E7%2Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"2y%5E7%2Aroot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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