document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180449>Question 1180449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following complex number and leave your answer in rectangular form\r<BR>\n" );
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document.write( "(2∠π/4 )^
4 ( 3∠π/3) / 4∠π/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810183 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Apparently this notation is common in electrical engineering; it is not common in mathematics.<br><BR>\n" );
document.write( "I will use the notation \"4 cis pi/2\" instead of \"4∠π/2\" -- it is easier to type....<br><BR>\n" );
document.write( "Use deMoivre's Theorem to simplify this:<BR>\n" );
document.write( "If two complex numbers in this form are being multiplied, multiply the coefficients and add the angles<BR>\n" );
document.write( "If two complex numbers in this form are being divided, divide the coefficients and subtract the angles<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282cis%28pi%2F4%29%29%5E4%29%283cis%28pi%2F3%29%29%2F%284cis%28pi%2F2%29%29+=+%28%28%282%5E4%29%283%29%29%2F4%29%28cis%284%28pi%2F4%29%2Bpi%2F3-pi%2F2%29%29+=+12+cis%285pi%2F6%29+=+12%28%28-sqrt%283%29%2F2%29%2B%281%2F2%29i%29=-6sqrt%283%29%2B6i ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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