document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092799>Question 1092799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify each imaginary number using the properties of exponents. <BR>\n" );
document.write( "• i^71<BR>\n" );
document.write( "• i^121 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707410 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i^1=i<BR>\n" );
document.write( "i^2=-1<BR>\n" );
document.write( "i^3=-i<BR>\n" );
document.write( "i^4=1<BR>\n" );
document.write( "and they repeat.<BR>\n" );
document.write( "So i^71 is 71/4 is 17 with remainder 3, so it is i^3=-i<BR>\n" );
document.write( "i^121 is 121/4 or 30 with remainder 1, so it is i. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );