document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504798>Question 504798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the digits of the result of 33333333334 to the 2nd power </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339727 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That number is equivalent to\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (\frac{10^{12} + 2}{3})^2\">, or\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{10^{24} + 4*10^{12} + 4}{9}\">, or\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(100...00400..004)/9. We can rewrite the fraction as\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1000...0}{9} + \frac{4000...0}{9} + \frac{4}{9}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE = 111...111 + 444...444 + 1\"> (note that we have to account for the fractional part of the number by adding 1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, this is simply a 24-digit number consisting of twelve 1's, eleven 5's, and one 6. The digit sum is 12(1) + 11(5) + 6 = 73. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );