document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29395>Question 29395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need some basic rules for the following type of problem set:\r<BR>\n" );
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document.write( "(i^0) * (-i^0) = ???\r<BR>\n" );
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document.write( "does i^o * i^0 = 1 ???\r<BR>\n" );
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document.write( "-i * i = ???\r<BR>\n" );
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document.write( "does -i^0 = -1 ???\r<BR>\n" );
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document.write( "i^1 * -i^1 = ???\r<BR>\n" );
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document.write( "i^2 * -i^2 = ???\r<BR>\n" );
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document.write( "-i^1 * i^2 = ???\r<BR>\n" );
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document.write( "i^1 * -i^2 = ???\r<BR>\n" );
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document.write( "then the set:\r<BR>\n" );
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document.write( "i^-1 * i^-2 = ??? ; i^1 * 1^-2 = ??? ; etc.\r<BR>\n" );
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document.write( "any resources on this type of factoring would be extremely useful, since i haven't seen this expressed anywhere in the literature as of yet.\r<BR>\n" );
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document.write( "this type of factoring might be simple to roger penrose, but it's driving me nuts. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23175 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=23175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Powers of i follow a cyclic pattern that you should memorize.<BR>\n" );
document.write( "i^0=1<BR>\n" );
document.write( "i^1=i<BR>\n" );
document.write( "i^2=-1<BR>\n" );
document.write( "i^3=-i<BR>\n" );
document.write( "i^4=1<BR>\n" );
document.write( "Then it starts over again because the last result was \"1\".<BR>\n" );
document.write( "Following this pattern you should be able to work your problems.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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