document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244805>Question 244805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I simplify ^5&#8730;&#8730;3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178984 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=178984\">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%2Csqrt%283%29%29 ALIGN=MIDDLE  ALT=\"root%285%2Csqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C3%5E%281%2F2%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"root%285%2C3%5E%281%2F2%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"3%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=%28x%29%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"sqrt%28x%29=%28x%29%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E%281%2F2%29%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%283%5E%281%2F2%29%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C3%5E%281%2F2%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"root%285%2C3%5E%281%2F2%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E%281%2F2%29%29%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"%283%5E%281%2F2%29%29%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Cx%29=%28x%29%5E%281%2F3%29%5E%22%22 ALIGN=MIDDLE  ALT=\"root%283%2Cx%29=%28x%29%5E%281%2F3%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28%281%2F2%29%2A%281%2F5%29%29%5E%22%22 ALIGN=MIDDLE  ALT=\"3%5E%28%281%2F2%29%2A%281%2F5%29%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents using the idea that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Ey%29%5Ez=x%5E%28yz%29 ALIGN=MIDDLE  ALT=\"%28x%5Ey%29%5Ez=x%5E%28yz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28%281%2A1%29%2F%282%2A5%29%29%5E%22%22 ALIGN=MIDDLE  ALT=\"3%5E%28%281%2A1%29%2F%282%2A5%29%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%2F10%29%5E%22%22 ALIGN=MIDDLE  ALT=\"3%5E%281%2F10%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%2810%2C3%29 ALIGN=MIDDLE  ALT=\"root%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert back to radical notation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2Csqrt%283%29%29=root%2810%2C3%29 ALIGN=MIDDLE  ALT=\"root%285%2Csqrt%283%29%29=root%2810%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );