document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184507>Question 1184507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express \"(1 + 3i)^-4\" in the form a + bi. What I have tried already is to, convert the \"1 + 3i\" into polar form, which is (2e^(pi/3))^-4. I'm not sure what to do from there though. Any help is appreciated, and thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815120 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem with representing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B3i%29%5E%28-4%29 ALIGN=MIDDLE  ALT=\"%281%2B3i%29%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282e%5E%28%28pi%2F3%29%2Ai%29%29%5E%28-4%29 ALIGN=MIDDLE  ALT=\"%282e%5E%28%28pi%2F3%29%2Ai%29%29%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B3i+%3C%3E+2e%5E%28%28pi%2F3%29%2Ai%29+=+1%2B+sqrt%283%29%2Ai ALIGN=MIDDLE  ALT=\"1%2B3i+%3C%3E+2e%5E%28%28pi%2F3%29%2Ai%29+=+1%2B+sqrt%283%29%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The best way to evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B3i%29%5E%28-4%29 ALIGN=MIDDLE  ALT=\"%281%2B3i%29%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is to evaluate it directly:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B3i%29%5E%28-4%29+=+1%2F%281%2B3i%29%5E4++=+%281%2F%281%2B3i%29%5E4%29%2A%28%281-3i%29%5E4%2F%281-3i%29%5E4%29++=+%281-3i%29%5E4%2F10%5E4+=+%281-12i-54%2B108i%2B81%29%2F%2210%2C000%22++=%287%2B24i%29%2F%222%2C500%22 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "BUT, in case you actually meant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bsqrt%283%29i%29%5E%28-4%29 ALIGN=MIDDLE  ALT=\"%281%2Bsqrt%283%29i%29%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bsqrt%283%29i%29%5E%28-4%29+=+%282e%5E%28%28pi%2F3%29%2Ai%29%29%5E%28-4%29+=+2%5E%28-4%29%2Ae%5E%28-%284%2Api%2F3%29%2Ai%29+=+%281%2F2%5E4%29%2A%28cos%28-4%2Api%2F3%29+%2B+i%2Asin%28-+4%2Api%2F3%29+%29=+%281%2F16%29%28-1%2F2+%2B+%28sqrt%283%29%2F2%29%2Ai%29+=+-1%2F32+%2B+%28%28sqrt%283%29%29%2F32%29%2Ai ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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