document.write( "Question 38350: Express the following as a complex number in the form a + ib:\r
\n" ); document.write( "\n" ); document.write( "The complex conjugate of i4n-3, with n Î Z\r
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Algebra.Com's Answer #23836 by AnlytcPhil(1806)\"\" \"About 
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Express the following as a complex number in the form a + ib:\r\n" );
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document.write( "The complex conjugate of i4n-3, with n Î Z\r\n" );
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document.write( "By definition we know that i2 = -1\r\n" );
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document.write( "We know that i4n = i2·2·n = ((i2)2)n = ((-1)2)n = (1)n = 1\r\n" );
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document.write( "Since i4 = 1\r\n" );
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document.write( "i4n-3 = i4n-3i4 = i4n-3+4 = i4n+1 = i4ni1 = 1·i = i\r\n" );
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document.write( "Now we want the conjugate of i\r\n" );
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document.write( "The conjugate of A + Bi is A - Bi and vice-versa\r\n" );
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document.write( "We write i as 0 + i, so its conjugate is 0 - i, or -i, so\r\n" );
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document.write( "Answer = -i\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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