document.write( "Question 319789: simplify i^26 \n" ); document.write( "
Algebra.Com's Answer #229027 by Alan3354(69443)\"\" \"About 
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simplify i^26
\n" ); document.write( "-----------
\n" ); document.write( "Powers of i are cyclic modulo 4
\n" ); document.write( "Exp Value
\n" ); document.write( "1.....i
\n" ); document.write( "2.....-1
\n" ); document.write( "3.....-i
\n" ); document.write( "4.....+1
\n" ); document.write( "5.....i
\n" ); document.write( "6.....-1
\n" ); document.write( "7.....-i
\n" ); document.write( "8.....+1
\n" ); document.write( "9.....i
\n" ); document.write( "etc
\n" ); document.write( "Divide the exponent by 4 and get the remainder.
\n" ); document.write( "This is called Modulo(26,4) in Excel and in programming language.
\n" ); document.write( "26 = 6*4 + 2
\n" ); document.write( "i^26 = i^2
\n" ); document.write( "= -1
\n" ); document.write( " \n" ); document.write( "
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