document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79349>Question 79349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E1=+i ALIGN=MIDDLE  ALT=\"i%5E1=+i\"   DISABLED_style= \"max-width:90%; height:auto;\" >      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i%5E5+=+i ALIGN=MIDDLE  ALT=\"+i%5E5+=+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%5E2=+-1+ ALIGN=MIDDLE  ALT=\"i%5E2=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i%5E6+=+-1 ALIGN=MIDDLE  ALT=\"+i%5E6+=+-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+ ALIGN=MIDDLE  ALT=\"i%5E3=+-i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++i%5E7=+-i ALIGN=MIDDLE  ALT=\"++i%5E7=+-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=+1+ ALIGN=MIDDLE  ALT=\"i%5E4=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i%5E8+=+1 ALIGN=MIDDLE  ALT=\"+i%5E8+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I am supposed to use the above pattern to simplify the powers of i.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E65 ALIGN=MIDDLE  ALT=\"i%5E65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Please help<BR>\n" );
document.write( "Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56947 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here we are given the values of i till <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E8 ALIGN=MIDDLE  ALT=\"i%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 \r<BR>\n" );
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document.write( "Now to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E65 ALIGN=MIDDLE  ALT=\"i%5E65\"   DISABLED_style= \"max-width:90%; height:auto;\" > this can be written as: \r<BR>\n" );
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document.write( "This can be written as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%5E13%29%5E5 ALIGN=MIDDLE  ALT=\"%28i%5E13%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Lets now find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E13 ALIGN=MIDDLE  ALT=\"i%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the given data: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E8 ALIGN=MIDDLE  ALT=\"i%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E9 ALIGN=MIDDLE  ALT=\"i%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E8+%2A+i ALIGN=MIDDLE  ALT=\"i%5E8+%2A+i\"   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=1+%2A+i ALIGN=MIDDLE  ALT=\"1+%2A+i\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "         = i \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E10 ALIGN=MIDDLE  ALT=\"i%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E9+%2Ai ALIGN=MIDDLE  ALT=\"i%5E9+%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "           =  i * i \r<BR>\n" );
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document.write( "           <BR>\n" );
document.write( "           = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "           = -1  \r<BR>\n" );
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document.write( "Similarly the rest are also found out. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E11 ALIGN=MIDDLE  ALT=\"i%5E11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -i \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E12 ALIGN=MIDDLE  ALT=\"i%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E13 ALIGN=MIDDLE  ALT=\"i%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = i \r<BR>\n" );
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document.write( "Thus the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E13 ALIGN=MIDDLE  ALT=\"i%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = i\r<BR>\n" );
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document.write( "And we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E5 ALIGN=MIDDLE  ALT=\"i%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = i \r<BR>\n" );
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document.write( "Thus, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E65 ALIGN=MIDDLE  ALT=\"i%5E65\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%5E13%29%5E5 ALIGN=MIDDLE  ALT=\"%28i%5E13%29%5E5\"   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=%28i%29%5E5 ALIGN=MIDDLE  ALT=\"%28i%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "                 = i \r<BR>\n" );
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document.write( "Hence, the solution. \r<BR>\n" );
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document.write( " 2nd method\r<BR>\n" );
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document.write( "Or we can also find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E13 ALIGN=MIDDLE  ALT=\"i%5E13\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28i%5E6%29%5E2%29+%2Ai ALIGN=MIDDLE  ALT=\"%28%28i%5E6%29%5E2%29+%2Ai\"   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=%28%28-1%29%5E2%29%2Ai ALIGN=MIDDLE  ALT=\"%28%28-1%29%5E2%29%2Ai\"   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=1+%2A+i ALIGN=MIDDLE  ALT=\"1+%2A+i\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "                                            = i \r<BR>\n" );
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document.write( "Now 65  = 13 * 5 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E65 ALIGN=MIDDLE  ALT=\"i%5E65\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%5E13%29%5E5 ALIGN=MIDDLE  ALT=\"%28i%5E13%29%5E5\"   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=%28i%29%5E5 ALIGN=MIDDLE  ALT=\"%28i%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "          = i \r<BR>\n" );
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document.write( "Hence, the solution.\r<BR>\n" );
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document.write( "Regards\r<BR>\n" );
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document.write( "Chitra<BR>\n" );
document.write( "Online MAth tutor<BR>\n" );
document.write( "www.knowledgeonlineservices.com\r<BR>\n" );
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document.write( " </SPAN>\n" );
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