document.write( "Question 606641: how do you simplify i to the 67 power \n" ); document.write( "

Algebra.Com's Answer #382156 by nerdybill(7384) $\"\"$ $\"About$

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how do you simplify i to the 67 power
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\n" ); document.write( "Four possible values of i^n:
\n" ); document.write( "i = i
\n" ); document.write( "i^2 = -1
\n" ); document.write( "i^3 = -i
\n" ); document.write( "i^4 = -i
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\n" ); document.write( "67 modulo 4 (the remainder of 67/4) is 3
\n" ); document.write( "so, i^3 = -i
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\n" ); document.write( "Therefore,
\n" ); document.write( "i^67 = -i
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