document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178087>Question 1178087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> complex number in polar form<BR>\n" );
document.write( " (5+5i)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807248 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First put it into exponential form:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=re%5E%28i%2Atheta%29+ ALIGN=MIDDLE  ALT=\"re%5E%28i%2Atheta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%28b%2Fa%29 ALIGN=MIDDLE  ALT=\"tan%5E-1%28b%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%281%29+ ALIGN=MIDDLE  ALT=\"tan%5E-1%281%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2B5i%29%5E3+ ALIGN=MIDDLE  ALT=\"+%285%2B5i%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2Asqrt%282%29%29%5E3+%2A+e%5E%28%283%2A45%29%2Ai%29+ ALIGN=MIDDLE  ALT=\"+%285%2Asqrt%282%29%29%5E3+%2A+e%5E%28%283%2A45%29%2Ai%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can finish the calculation.\r<BR>\n" );
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document.write( "Once you have the answer in exponential form, you can write it in polar form (trivially) using this:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%2Ae%5E%28i%2Atheta%29+=+r%2Acos%28theta%29%2Bi%2Ar%2Asin%28theta%29+ ALIGN=MIDDLE  ALT=\"+r%2Ae%5E%28i%2Atheta%29+=+r%2Acos%28theta%29%2Bi%2Ar%2Asin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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