document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120459>Question 120459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> May I have some help finishing this expression?\r<BR>\n" );
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document.write( "Evaluate the expression and write the result in the form a + bi.\r<BR>\n" );
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document.write( "i^402 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88295 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First take the exponent 402 and divide by 4.<BR>\n" );
document.write( "When it leaves a remainder of 0, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "When it leaves a remainder of 1, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29=i ALIGN=MIDDLE  ALT=\"sqrt%28-1%29=i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "When it leaves a remainder of 2, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "When it leaves a remainder of 3, the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28-1%29=-i ALIGN=MIDDLE  ALT=\"-sqrt%28-1%29=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=402%2F4 ALIGN=MIDDLE  ALT=\"402%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > leaves a remainder of 2, this means the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E402=-1 ALIGN=MIDDLE  ALT=\"i%5E402=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B0i ALIGN=MIDDLE  ALT=\"-1%2B0i\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+bi ALIGN=MIDDLE  ALT=\"a+%2B+bi\"   DISABLED_style= \"max-width:90%; height:auto;\" > form </SPAN>\n" );
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