document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121401>Question 121401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the first 10 powers of i. Observe the pattern. Explain how to quickly calculate any whole number power of i.( ex. What is i^312?)<BR>\n" );
document.write( "I know how to calculate the first ten powers and I see the pattern but I am awful at explaining to other people. Can you help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89073 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=89073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since every 4th power is \"1\", <BR>\n" );
document.write( "If you have i^x and x = 4k+r<BR>\n" );
document.write( "the i^x = i^r<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Example: i^37 = i^(4*9+1) = i^1 = i<BR>\n" );
document.write( "i^23 = i^(5*4+3) = i^3 = -i<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );