document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984827>Question 984827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation, and enter your answer in standard form:\r<BR>\n" );
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document.write( "(3*(cos(60°)+isin(60°)))^4\r<BR>\n" );
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document.write( "Thank you kindly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605650 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A%28cos%2860%29%2Bi%2Asin%2860%29%29%29%5E4 ALIGN=MIDDLE  ALT=\"%283%2A%28cos%2860%29%2Bi%2Asin%2860%29%29%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%5E4%2A%28cos%284%2A60%29%2Bi%2Asin%284%2A60%29%29 ALIGN=MIDDLE  ALT=\"%283%29%5E4%2A%28cos%284%2A60%29%2Bi%2Asin%284%2A60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use De Moivre's Theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2A%28cos%28240%29%2Bi%2Asin%28240%29%29 ALIGN=MIDDLE  ALT=\"81%2A%28cos%28240%29%2Bi%2Asin%28240%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2A%28-1%2F2%2Bi%2A%28-sqrt%283%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"81%2A%28-1%2F2%2Bi%2A%28-sqrt%283%29%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a unit circle or trig table\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2A%28-1%2F2%29%2B81%2Ai%2A%28-sqrt%283%29%2F2%29 ALIGN=MIDDLE  ALT=\"81%2A%28-1%2F2%29%2B81%2Ai%2A%28-sqrt%283%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81%2F2-%28%2881%2Asqrt%283%29%29%2F2%29i ALIGN=MIDDLE  ALT=\"-81%2F2-%28%2881%2Asqrt%283%29%29%2F2%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40.5-70.14806i ALIGN=MIDDLE  ALT=\"-40.5-70.14806i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The exact answer as a fraction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81%2F2-%28%2881%2Asqrt%283%29%29%2F2%29i ALIGN=MIDDLE  ALT=\"-81%2F2-%28%2881%2Asqrt%283%29%29%2F2%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice it is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-81%2F2 ALIGN=MIDDLE  ALT=\"a+=+-81%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-%2881%2Asqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"b+=+-%2881%2Asqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The approximate answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40.5-70.14806i ALIGN=MIDDLE  ALT=\"-40.5-70.14806i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice it is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-40.5 ALIGN=MIDDLE  ALT=\"a+=+-40.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-70.14806 ALIGN=MIDDLE  ALT=\"b+=+-70.14806\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounded to 5 decimal places) </SPAN>\n" );
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