document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131219>Question 1131219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "z = 5 + 5sqrt(3)i,\r<BR>\n" );
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document.write( "Write z in polar form.\r<BR>\n" );
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document.write( "Find the complex number <BR>\n" );
document.write( "z^9. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747869 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=747869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+5%2B%285%2Asqrt%283%29%29i ALIGN=MIDDLE  ALT=\"z+=+5%2B%285%2Asqrt%283%29%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28z%29+=+sqrt%28%285%5E2%29%2B%285%2Asqrt%283%29%29%5E2%29+=+10 ALIGN=MIDDLE  ALT=\"abs%28z%29+=+sqrt%28%285%5E2%29%2B%285%2Asqrt%283%29%29%5E2%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+tan%5E%28-1%29%285%2Asqrt%283%29%2F5%29+=+pi%2F3 ALIGN=MIDDLE  ALT=\"theta+=+tan%5E%28-1%29%285%2Asqrt%283%29%2F5%29+=+pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+10%2Acis%28pi%2F3%29 ALIGN=MIDDLE  ALT=\"z+=+10%2Acis%28pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "(Note that, alternatively, you can find the magnitude and the angle by recognizing that the triangle corresponding to the given complex number is a 30-60-90 right triangle with short leg 5.)<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E9=+%2810%2Acis%28pi%2F3%29%29%5E9+=+10%5E9%2Acis%289%28pi%2F3%29%29+=+10%5E9cis%283pi%29+=+-10%5E9 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );