document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255255>Question 255255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the one’s digit of the number 7^2005 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187525 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=187525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7^1 = 7<BR>\n" );
document.write( "7^2 = 49<BR>\n" );
document.write( "7^3 = 343<BR>\n" );
document.write( "7^4 = 2401<BR>\n" );
document.write( "7^5 = 16807<BR>\n" );
document.write( "So the fifth power of 7 ends with 7<BR>\n" );
document.write( "7^2005 = (7^5)^401 <BR>\n" );
document.write( "Therefore 7^2005 ends with 7.<BR>\n" );
document.write( "So the one’s digit of the number 7^2005 is 7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );