document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310098>Question 310098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this? It is part of my homework and it provides the answer in the book but I cannot figure out how they got it, can someone please show me the steps?\r<BR>\n" );
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document.write( "Determine the ones digit when the expression is evaluated.\r<BR>\n" );
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document.write( "Problem: 34^202\r<BR>\n" );
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document.write( "Answer: 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221783 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=221783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the ones digit when the expression is evaluated. <BR>\n" );
document.write( "Problem: 34^202 <BR>\n" );
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document.write( "Look at the powers of 34, or any number whose 1's digit is 4.<BR>\n" );
document.write( "Powers of 34:<BR>\n" );
document.write( "34<BR>\n" );
document.write( "1156<BR>\n" );
document.write( "39304<BR>\n" );
document.write( "1336336<BR>\n" );
document.write( "45435424<BR>\n" );
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document.write( "Notice that the 1's digit alternates between 4 and 6.<BR>\n" );
document.write( "That's true for all numbers xxxxxx...4.<BR>\n" );
document.write( "4<BR>\n" );
document.write( "16<BR>\n" );
document.write( "64<BR>\n" );
document.write( "256<BR>\n" );
document.write( "1024<BR>\n" );
document.write( "4096<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "If it's an even exponent, it's 6<BR>\n" );
document.write( "If it's odd, it's 4.<BR>\n" );
document.write( " </SPAN>\n" );
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