document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66938>Question 66938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3rt%28+27x%5E9y%5E4z%5E7%29+ ALIGN=MIDDLE  ALT=\"+3rt%28+27x%5E9y%5E4z%5E7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "i am not sure if i entered this is correctly but i hope that i did.  It is the cube root of 27x^9y^4z^7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53333 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=53333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cube root can be expressed as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{27x^9y^4z^7}=(27x^9y^4z^7)^{\frac{1}{3}\"><BR>\n" );
document.write( "Now simply multiply each exponent by 1/3 and take the cube root of 27<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (27^{\frac{1}{3}}x^{9*\frac{1}{3}}y^{4*\frac{1}{3}}z^{7*\frac{1}{3}})\"><BR>\n" );
document.write( "So 27 to the one-third power (the cube root of 27) is 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (3x^{\frac{9}{3}}y^{\frac{4}{3}}z^{\frac{7}{3}})\">Multiply the exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (3x^{3}y^{\frac{4}{3}}z^{\frac{7}{3}})\">Simplify. There's the simplified expression.<BR>\n" );
document.write( "Or it could look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (3x^{3}\sqrt[3]{y^{4}}\sqrt[3]{z^{7}})\"><BR>\n" );
document.write( "Either way they are both equal. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );