document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19602>Question 19602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the power of i for i47. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9492 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the power of i for i47.<BR>\n" );
document.write( "WE KNOW THAT <BR>\n" );
document.write( "i^1=i<BR>\n" );
document.write( "i^2=-1<BR>\n" );
document.write( "i^3=i^2*i=-i<BR>\n" );
document.write( "i^4=i^2*i^2=-1*-1=1..so first write the power as a multiple of 4 and remainder<BR>\n" );
document.write( "here 47=4*11+3<BR>\n" );
document.write( "so (i)^47=(i)^44*(i)^3 =+1*i^3=i^3=i^2*i=-i<BR>\n" );
document.write( " </SPAN>\n" );
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