document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221232>Question 221232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following and give the answer in the form a+bi.\r<BR>\n" );
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document.write( "(1 - i)^8                          (use Euler form).\r<BR>\n" );
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document.write( "Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166030 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=166030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1 - i)^8<BR>\n" );
document.write( "r = sqrt(2)<BR>\n" );
document.write( "theta = -45º<BR>\n" );
document.write( "z = rcis(theta) = sqrt(2)cis(-45)<BR>\n" );
document.write( "z^8 = (sqrt(2))^8cis(-45*8)<BR>\n" );
document.write( "z^8 = 16cis(-360)<BR>\n" );
document.write( "z^8 = 16(cos(360) + isin(360)) (+360 = -360)<BR>\n" );
document.write( "z^8 = 16\r<BR>\n" );
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