document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264531>Question 264531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify by taking roots of the numerator and the denominator.Assume all expressions under the radicals represent positive numbers.\r<BR>\n" );
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document.write( "cubed rt of 512x^5/y^3\r<BR>\n" );
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document.write( "please help.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194741 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=194741\">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%28512x%5E5%29%2F%28y%5E3%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28512x%5E5%29%2F%28y%5E3%29%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%283%2C512x%5E5%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C512x%5E5%29%2Froot%283%2Cy%5E3%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=root%283%2C8%5E3x%5E5%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C8%5E3x%5E5%29%2Froot%283%2Cy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 512 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E3 ALIGN=MIDDLE  ALT=\"8%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512=8%5E3 ALIGN=MIDDLE  ALT=\"512=8%5E3\"   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=root%283%2C8%5E3x%5E3x%5E2%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C8%5E3x%5E3x%5E2%29%2Froot%283%2Cy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3x%5E2 ALIGN=MIDDLE  ALT=\"x%5E3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5=x%5E3x%5E2 ALIGN=MIDDLE  ALT=\"x%5E5=x%5E3x%5E2\"   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=root%283%2C8%5E3%29root%283%2Cx%5E3%29root%283%2Cx%5E2%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"root%283%2C8%5E3%29root%283%2Cx%5E3%29root%283%2Cx%5E2%29%2Froot%283%2Cy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root in the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2Aroot%283%2Cx%5E3%29root%283%2Cx%5E2%29%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"%288%2Aroot%283%2Cx%5E3%29root%283%2Cx%5E2%29%29%2Froot%283%2Cy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E3 ALIGN=MIDDLE  ALT=\"8%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 8. Remember the cube root of anything cubed is simply that original expression. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cx%5E3%29=x ALIGN=MIDDLE  ALT=\"root%283%2Cx%5E3%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This is why everything was broken down into parts dealing with cubes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%2Aroot%283%2Cx%5E2%29%29%2Froot%283%2Cy%5E3%29 ALIGN=MIDDLE  ALT=\"%288x%2Aroot%283%2Cx%5E2%29%29%2Froot%283%2Cy%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root <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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%2Aroot%283%2Cx%5E2%29%29%2Fy ALIGN=MIDDLE  ALT=\"%288x%2Aroot%283%2Cx%5E2%29%29%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root <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" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28512x%5E5%29%2F%28y%5E3%29%29=%288x%2Aroot%283%2Cx%5E2%29%29%2Fy ALIGN=MIDDLE  ALT=\"root%283%2C%28512x%5E5%29%2F%28y%5E3%29%29=%288x%2Aroot%283%2Cx%5E2%29%29%2Fy\"   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" );
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