document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178026>Question 178026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the expression in the simplest form using the properties of radicals<BR>\n" );
document.write( "3&#8730;81/5&#8730;729<BR>\n" );
document.write( "IT SAYS (81) to the 1/3 power divided by (729) to the 1/5 power </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132982 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=132982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (81) to the 1/3 power divided by (729) to the 1/5 power<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "81^(1/3) = 3*(3^(1/3))\r<BR>\n" );
document.write( "\n" );
document.write( "729^(1/5) = [3^(6)]^(1/5) = 3*(3^(1/5))\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Dividing you get [3*(3^(1/3))] / [3*(3^(1/5))]\r<BR>\n" );
document.write( "\n" );
document.write( "The \"3\" factors cancel and you need to subtract the exponents to get:\r<BR>\n" );
document.write( "\n" );
document.write( "= 3^(1/3 - 1/5)\r<BR>\n" );
document.write( "\n" );
document.write( "= 3^(2/15)\r<BR>\n" );
document.write( "\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );