document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48990>Question 48990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find the Powers of the base i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32459 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=32459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 = (i^2)(i^2) = (-1)(-1) = 1<BR>\n" );
document.write( "i^5 = (i^2)(i^2)i = i<BR>\n" );
document.write( "i^6 = (i^2)^3 = (-1)^3 = -1<BR>\n" );
document.write( "i^7 = (i^2)^3 * i = -i<BR>\n" );
document.write( "See a pattern?<BR>\n" );
document.write( "Every imaginery number to an odd power = +- i<BR>\n" );
document.write( "Every imaginery number to an even power including zero = +- 1<BR>\n" );
document.write( "To find the value ~> just simplify<BR>\n" );
document.write( "ex.) i^49 we know that this will equal either 'i' or '-i'<BR>\n" );
document.write( "(i^7)^7 = (i^2*i^2*i^2*i)^7 = (-i)^7 = i </SPAN>\n" );
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