document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083283>Question 1083283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate (2+i)^7. Give your answer in  a+bi form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697295 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=697295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by writing 2+i in polar form, because in that form the ^7 part is easier to handle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2Bi%29+=+sqrt%282%5E2%2B1%5E2%29e%5E%28i%2Atan%5E-1%281%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+%282%2Bi%29+=+sqrt%282%5E2%2B1%5E2%29e%5E%28i%2Atan%5E-1%281%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%285%29%2Ae%5E%28i%2A26.5651%5Eo%29+ ALIGN=MIDDLE  ALT=\"+sqrt%285%29%2Ae%5E%28i%2A26.5651%5Eo%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=+%28sqrt%285%29%2Ae%5E%28i%2A26.5651%5Eo%29+%29%5E7+=++%28sqrt%285%29%29%5E7%2Ae%5E%287%2Ai%2A%2826.5651%5Eo%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E%287%2F2%29+%2A+e%5E%28i%2A185.9557%5Eo%29+ ALIGN=MIDDLE  ALT=\"+5%5E%287%2F2%29+%2A+e%5E%28i%2A185.9557%5Eo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <<< 5^(7/2) * e^(i*185.9557) <BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+279.50850%2Ae%5E%28i%2A185.9557%5Eo%29+ ALIGN=MIDDLE  ALT=\"+279.50850%2Ae%5E%28i%2A185.9557%5Eo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+279.50850%2A%28cos%28185.9557%29+%2B+i%2Asin%28185.9557%29%29+ ALIGN=MIDDLE  ALT=\"+279.50850%2A%28cos%28185.9557%29+%2B+i%2Asin%28185.9557%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+279.50850%2A%28-0.99469+%2B+i%2A%28-0.1037595%29%29+ ALIGN=MIDDLE  ALT=\"+279.50850%2A%28-0.99469+%2B+i%2A%28-0.1037595%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++highlight%28-278.02431+-+i%2A29.00166%29+ ALIGN=MIDDLE  ALT=\"++highlight%28-278.02431+-+i%2A29.00166%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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