document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58739>Question 58739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help on multipying and taking \"i\" to powers.\r<BR>\n" );
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document.write( "My question is:\r<BR>\n" );
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document.write( "Evaluate the following epression for x=2i\r<BR>\n" );
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document.write( "x^6 + 3x^3 - 4x^2 + 2x - 5\r<BR>\n" );
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document.write( "I used the dividing power rule on one of the worked problems. The answer I got was -7 from this equation:\r<BR>\n" );
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document.write( "2(-1) + 3(2)(-i) - 4(2)(-1) + 2(i) - 5\r<BR>\n" );
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document.write( "-2 + 6(-i) + 8 + 2i - 5\r<BR>\n" );
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document.write( "1 + 8<BR>\n" );
document.write( "1 + 8(-1)(1)<BR>\n" );
document.write( "1 - 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40269 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help on multipying and taking \"i\" to powers.<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( "Whenever the powers are bigger than 3, divide the power by 4, whatever the remainder is tells you what you have:<BR>\n" );
document.write( "i^4=1  ( because 4/4=1 r=0 and i^0=1)<BR>\n" );
document.write( "i^13=i (because 13/4=3 r=1 and i^1=i)<BR>\n" );
document.write( "i^102=-1 (because 102/4=25 r=2 and i^2=-1)<BR>\n" );
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document.write( "Evaluate the following epression for x=2i<BR>\n" );
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document.write( "x^6 + 3x^3 - 4x^2 + 2x - 5<BR>\n" );
document.write( "(2i)^6+3(2i)^3-4(2i)^2+2(2i)-5<BR>\n" );
document.write( "64(-1)+3(8)(-i)-4(4)(-1)+4i-5<BR>\n" );
document.write( "-64-24i+16+4i-5<BR>\n" );
document.write( "-53-20i<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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