document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=361631>Question 361631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on page 280 of the algebra 2 book problem 5 reads i^40 i cant figure out how to solve it... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257845 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=257845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5En ALIGN=MIDDLE  ALT=\"i%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > cycles in factors of 4<BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E0=1 ALIGN=MIDDLE  ALT=\"i%5E0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E1=i=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i%5E1=i=sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E3=i%5E2%2Ai=-1%2Ai=-i ALIGN=MIDDLE  ALT=\"i%5E3=i%5E2%2Ai=-1%2Ai=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4=i%5E2%2Ai%5E2=-1%2A-1=1=i%5E0 ALIGN=MIDDLE  ALT=\"i%5E4=i%5E2%2Ai%5E2=-1%2A-1=1=i%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E5=i%5E4%2Ai=i=i%5E1 ALIGN=MIDDLE  ALT=\"i%5E5=i%5E4%2Ai=i=i%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and as you can see values recycle based on xmod(4) (ie the remainder of dividing by 4)\r<BR>\n" );
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document.write( "So since you want to know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E40 ALIGN=MIDDLE  ALT=\"i%5E40\"   DISABLED_style= \"max-width:90%; height:auto;\" > and since 40mod(4)=0 then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E40=i%5E0=1 ALIGN=MIDDLE  ALT=\"i%5E40=i%5E0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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