document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96475>Question 96475</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321227573/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The problem is i to the -10th power.  I don't even know how to begin to start.  The example in the book of i to the -3rd=i to the -4 x i and I don't understand why.  Can you give me another example that might work like this one? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70240 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70240\">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+=+sqrt%28-1%29+ ALIGN=MIDDLE  ALT=\"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+=+%28i%29%28i%5E2%29+ ALIGN=MIDDLE  ALT=\"i%5E3+=+%28i%29%28i%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > giving <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4+=+%28i%5E2%29%5E2+ ALIGN=MIDDLE  ALT=\"i%5E4+=+%28i%5E2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E4+=+%28-1%29%5E2+ ALIGN=MIDDLE  ALT=\"i%5E4+=+%28-1%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and hence <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( "After this, the next powers just return through the same 4 values, so <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;\" > etc.\r<BR>\n" );
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document.write( "So, <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;\" > is the same as <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;\" > which is -1.\r<BR>\n" );
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document.write( "Anything as a negative power, like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-n%29 ALIGN=MIDDLE  ALT=\"a%5E%28-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28a%5En%29 ALIGN=MIDDLE  ALT=\"1%2F%28a%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so 1/(-1) is -1. That is your answer.\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "jon<BR>\n" );
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