document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967689>Question 967689</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.\r<BR>\n" );
document.write( "\n" );
document.write( "(3sqrt 3 + 3i)^5<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%28%28ssqrt%283%29%29%5E2+%2B+3%5E2%29+=+sqrt%2827%2B9%29+=+6 ALIGN=MIDDLE  ALT=\"r+=+sqrt%28%28ssqrt%283%29%29%5E2+%2B+3%5E2%29+=+sqrt%2827%2B9%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Angle = atan(sqrt(3)/3) = 30 degrees<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286cis%2830%29%29%5E5 ALIGN=MIDDLE  ALT=\"%286cis%2830%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 7776cis(150)<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7776%2A%28cos%28150%29+%2B+i%2Asin%28150%29 ALIGN=MIDDLE  ALT=\"7776%2A%28cos%28150%29+%2B+i%2Asin%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3338%2Asqrt%283%29+%2B+3338i ALIGN=MIDDLE  ALT=\"-3338%2Asqrt%283%29+%2B+3338i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\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 #591447 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=591447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3sqrt 3 + 3i)^5<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%28%28ssqrt%283%29%29%5E2+%2B+3%5E2%29+=+sqrt%2827%2B9%29+=+6 ALIGN=MIDDLE  ALT=\"r+=+sqrt%28%28ssqrt%283%29%29%5E2+%2B+3%5E2%29+=+sqrt%2827%2B9%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Angle = atan(sqrt(3)/3) = 30 degrees<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286cis%2830%29%29%5E5 ALIGN=MIDDLE  ALT=\"%286cis%2830%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 7776*cis(150)<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7776%2A%28cos%28150%29+%2B+i%2Asin%28150%29%29 ALIGN=MIDDLE  ALT=\"7776%2A%28cos%28150%29+%2B+i%2Asin%28150%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3338%2Asqrt%283%29+%2B+3338i ALIGN=MIDDLE  ALT=\"-3338%2Asqrt%283%29+%2B+3338i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );