document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883926>Question 883926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the remainder when 23^294 is divided by 5?<BR>\n" );
document.write( "(A) 0<BR>\n" );
document.write( "(B) 1<BR>\n" );
document.write( "(C) 2<BR>\n" );
document.write( "(D) 3<BR>\n" );
document.write( "(E) 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533868 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=533868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the remainder when 23^294 is divided by 5?<BR>\n" );
document.write( "294 = 2^8 + 2^5 + 2^2 + 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "23 = 3 (mod 5)<BR>\n" );
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document.write( "So  23^294 Mod 5 = 23^(2+2^2+2^5+2^8) mod5<BR>\n" );
document.write( "= 3^2*3^4*3^5*3*8 (mod5)<BR>\n" );
document.write( "= 4*1*2*3 (mod5)<BR>\n" );
document.write( "= 4 (mod5)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------ <BR>\n" );
document.write( " (A) 0<BR>\n" );
document.write( " (B) 1<BR>\n" );
document.write( " (C) 2<BR>\n" );
document.write( " (D) 3<BR>\n" );
document.write( " (E) 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );