document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938813>Question 938813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> z is the complex number 1+i, where i^2=-1.<BR>\n" );
document.write( "(i) Find z^2 and z^3.<BR>\n" );
document.write( "(ii) Verify that z^4=-4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572024 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z = 1+i<BR>\n" );
document.write( "...<BR>\n" );
document.write( "(1+i)^2 = 1 + 2i - 1 = 2i<BR>\n" );
document.write( "z^4 = (2i)^2 = -4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "z^3 = 2i(1+i) = 2i - 2 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );