document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116773>Question 1116773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the power in rectangular and trigonometric form when given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%2Bi%29%5E7+ ALIGN=MIDDLE  ALT=\"+%28-1%2Bi%29%5E7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731699 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=731699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Put the expression in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Acis%28x%29 ALIGN=MIDDLE  ALT=\"r%2Acis%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form and use deMoivre's Theorem.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Bi+=+sqrt%282%29%2Acis%283pi%2F4%29 ALIGN=MIDDLE  ALT=\"-1%2Bi+=+sqrt%282%29%2Acis%283pi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "deMoivre's Theorem says you raise that number to a power by raising the modulus to the power and multiplying the angle by the power.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2Bi%29%5E7+=+%28sqrt%282%29%29%5E7%2Acis%287%2A%283pi%2F4%29%29+=+8sqrt%282%29%2Acis%2821pi%2F4%29+=+8sqrt%282%29%2Acis%285pi%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then convert back to rectangular form; a modulus of 8*sqrt(2) and an angle of 5pi/4 gives the rectangular form as -8-8i. </SPAN>\n" );
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