document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179689>Question 179689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simplify i^-33.  I'm not sure how to deal with the negative exponent.  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 #134611 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=134611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, rewrite the expression to get rid of the negative exponent. Simply flip the fraction to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E%28-33%29=1%2Fi%5E33 ALIGN=MIDDLE  ALT=\"i%5E%28-33%29=1%2Fi%5E33\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide 33 into 4 to get 8 remainder 1\r<BR>\n" );
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document.write( "Since we get a remainder 1, this tells us that <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( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E%28-33%29=1%2Fi%5E33=1%2Fi ALIGN=MIDDLE  ALT=\"i%5E%28-33%29=1%2Fi%5E33=1%2Fi\"   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%2Fi ALIGN=MIDDLE  ALT=\"1%2Fi\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fi%29%28i%2Fi%29 ALIGN=MIDDLE  ALT=\"%281%2Fi%29%28i%2Fi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%2Fi ALIGN=MIDDLE  ALT=\"i%2Fi\"   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=%281%2Ai%29%2F%28i%2Ai%29 ALIGN=MIDDLE  ALT=\"%281%2Ai%29%2F%28i%2Ai%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%29%2F%28i%5E2%29 ALIGN=MIDDLE  ALT=\"%28i%29%2F%28i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%28i%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <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;\" > with -1 (since <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;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-i ALIGN=MIDDLE  ALT=\"-i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E%28-33%29=1%2Fi%5E33=1%2Fi=-i ALIGN=MIDDLE  ALT=\"i%5E%28-33%29=1%2Fi%5E33=1%2Fi=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or more simply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E%28-33%29=-i ALIGN=MIDDLE  ALT=\"i%5E%28-33%29=-i\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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