document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140199>Question 140199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i^41 (the answer in the back of the book is \"i\" -- I just can't figure out how that answer is arrived at) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102155 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> well...you can multiply i by itself 41 times, or...\r<BR>\n" );
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document.write( "looking at powers of i __ i^0=1, i^1=i, i^2=-1, i^3=-i, i^4=1, i^5=i...\r<BR>\n" );
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document.write( "the pattern shows a 4-step cycle __ so divide the exponent by 4 and use the remainder\r<BR>\n" );
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document.write( "i^41=i^(41-40)=i^1=i </SPAN>\n" );
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