document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17345>Question 17345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is (i)^42.....is it (-1)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8368 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=8368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i)^42.....is it (-1)?<BR>\n" );
document.write( "we know that <BR>\n" );
document.write( "i=i<BR>\n" );
document.write( "i^2=-1<BR>\n" );
document.write( "i^3=i^2*i=-1*i=-i<BR>\n" );
document.write( "i^4=(i^2)^2=1...etc<BR>\n" );
document.write( "so we see that if the power is even number then the answer is 1 or -1  and if power is odd number then the answer is i or -i <BR>\n" );
document.write( "now in the problem i^42 we know that 42 is even number .so answer is 1 or -1 ..now to find whether it is +1 or -1 ..we have to find it is even number divisible by 4 or not. if it is divisible by 4 the answer is +1 other wise the answer is -1.<BR>\n" );
document.write( "here 42 is not divisible by 4 ..so the answer is -1 </SPAN>\n" );
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