document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=679687>Question 679687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form <BR>\n" );
document.write( "a + bi.)<BR>\n" );
document.write( "(3 + sqrt 3i)^4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422016 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=422016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3 + sqrt 3i)^4<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%283+%2B+sqrt%283%29i%29 ALIGN=MIDDLE  ALT=\"z+=+%283+%2B+sqrt%283%29i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Mag = 2sqrt(3)<BR>\n" );
document.write( "Angle = asin(sqrt(3)/(2sqrt(3)) = asin(1/2)<BR>\n" );
document.write( "Angle = 30 degs<BR>\n" );
document.write( "z = 2sqrt(3)cis(30)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "z^4 = 144cis(120)<BR>\n" );
document.write( "= 144*-0.5 + 144i*sqrt(3)/2<BR>\n" );
document.write( "= -72 + (72*sqrt(3))i<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );