document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194024>Question 194024</A>: <I><SPAN STYLE=\"word-break: break-all;\">      <BR>\n" );
document.write( "cubed root xy5 x cubed rootx19y17<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 #145628 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=145628\">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%2Cxy%5E5%29%2Aroot%283%2Cx%5E%2819%29y%5E%2817%29%29 ALIGN=MIDDLE  ALT=\"root%283%2Cxy%5E5%29%2Aroot%283%2Cx%5E%2819%29y%5E%2817%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%2C%28xy%5E5%29%28x%5E%2819%29y%5E%2817%29%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28xy%5E5%29%28x%5E%2819%29y%5E%2817%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the roots\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cx%5E%281%2B19%29y%5E%285%2B17%29%29 ALIGN=MIDDLE  ALT=\"root%283%2Cx%5E%281%2B19%29y%5E%285%2B17%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by adding the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cx%5E%2820%29y%5E%2822%29%29 ALIGN=MIDDLE  ALT=\"root%283%2Cx%5E%2820%29y%5E%2822%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(x^{20}y^{22}\right)^{\frac{1}{3}}\"> Convert to exponential notation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^{20\left(\frac{1}{3}\right)}y^{22\left(\frac{1}{3}\right)}\"> Multiply the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^{\frac{20}{3}}y^{\frac{22}{3}}\"> Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^{6\frac{2}{3}}y^{7\frac{1}{3}}\"> Convert the improper fractions to mixed fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^{6+\frac{2}{3}}y^{7+\frac{1}{3}}\"> Expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^6x^{\frac{2}{3}}y^7y^{\frac{1}{3}}\"> Break up the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez ALIGN=MIDDLE  ALT=\"x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez\"   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 x^6y^7\left(x^2y\right)^{\frac{1}{3}}\"> Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E6y%5E7%2Aroot%283%2Cx%5E2y%29 ALIGN=MIDDLE  ALT=\"x%5E6y%5E7%2Aroot%283%2Cx%5E2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert back to radical notation\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cxy%5E5%29%2Aroot%283%2Cx%5E%2819%29y%5E%2817%29%29=x%5E6y%5E7%2Aroot%283%2Cx%5E2y%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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