document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221204>Question 221204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify imaginary i^33<BR>\n" );
document.write( "as much as possible<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165955 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify imaginary i^33<BR>\n" );
document.write( "as much as possible\r<BR>\n" );
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document.write( "Step 1. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i=sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=sqrt%5E2%28-1%29=-1 ALIGN=MIDDLE  ALT=\"i%5E2=sqrt%5E2%28-1%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E3=-i ALIGN=MIDDLE  ALT=\"i%5E3=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4=1 ALIGN=MIDDLE  ALT=\"i%5E4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2. Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E33=%28i%5E4%29%5E8%2Ai=1%5E8%2Ai=i ALIGN=MIDDLE  ALT=\"i%5E33=%28i%5E4%29%5E8%2Ai=1%5E8%2Ai=i\"   DISABLED_style= \"max-width:90%; height:auto;\" >  where  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%5E4%29%5E8=i%5E32 ALIGN=MIDDLE  ALT=\"%28i%5E4%29%5E8=i%5E32\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E33=i ALIGN=MIDDLE  ALT=\"i%5E33=i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "drjctu@gmail.com\r<BR>\n" );
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