document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304856>Question 304856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find (1/sqrt2 + i/sqrt2)^8\r<BR>\n" );
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document.write( "-8<BR>\n" );
document.write( "256<BR>\n" );
document.write( "8<BR>\n" );
document.write( "1<BR>\n" );
document.write( "None </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218312 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=218312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find (1/sqrt(2) + i/sqrt(2))^8<BR>\n" );
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document.write( "= [(1+i)/sqrt(2)]^8<BR>\n" );
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document.write( "= (1/16)[8C8(1)^8(i)^0 + 8C7(i^1) + 8C6(i^2) + 8C5(i^3) + 8C4(i^4) + 8C3(i^5)<BR>\n" );
document.write( "+ 8C2(i^6) + 8C1(i^7) + 8C0(i^8)]<BR>\n" );
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document.write( "= (1/16)[1 + 8i - 28 - 56i + 70 + 56i - 28 -8i + 1]<BR>\n" );
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document.write( "(1/16)(2 - 56 + 70]<BR>\n" );
document.write( "(1/16)(16)<BR>\n" );
document.write( "= 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "-8<BR>\n" );
document.write( "256<BR>\n" );
document.write( "8<BR>\n" );
document.write( "1<BR>\n" );
document.write( "None </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );