document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235046>Question 235046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help show me how to sovle the following problem? i^37 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173272 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=173272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i^37<BR>\n" );
document.write( "= i<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "i^2 = -1<BR>\n" );
document.write( "i^4 = 1<BR>\n" );
document.write( "i^8 = 1<BR>\n" );
document.write( "Any multiple of 4 in the exponent --> 1<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "37 = 9*4 + 1<BR>\n" );
document.write( "Divide the exponent by 4 and use the remainder<BR>\n" );
document.write( "i^37 = i^1<BR>\n" );
document.write( "= i<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );