document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258433>Question 258433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am given z=(5.5+5.5i);determine z^4<BR>\n" );
document.write( "I multiplied it all out and used i^1=i, i^2=-1, i^3=-i, i^4=1. I got -14660.283 and its not right. Any help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190235 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=190235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I am given z=(5.5+5.5i);determine z^4<BR>\n" );
document.write( "z = 5.5(1+i)<BR>\n" );
document.write( "Using multiplication:<BR>\n" );
document.write( "z^4 = (5.5^4)*(1+i)^4<BR>\n" );
document.write( "z^4 = 915.0625*(2i)^2<BR>\n" );
document.write( "z^4 = -4*915.0625<BR>\n" );
document.write( "z^4 = -3660.25<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "|z| = 5.5*sqrt(2)cis(45)<BR>\n" );
document.write( "z^4 = (5.5^4)*4cis(180)<BR>\n" );
document.write( "z^4 = 3660.25*(-1 + 0)<BR>\n" );
document.write( "z^4 = -3660.25<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );