document.write( "Question 4632: i^91=?
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document.write( "This question was asked previously (question 3340), and the given soluttion was to find where i^91 came in the cycle of i. However I learned another way to do it, and I was wondering if it is correct.
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document.write( "Take the given question i^91:
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document.write( "i^91 = i^90 + 1
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document.write( " = i^90 * i^1
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document.write( " = (i^2)^45*i^1
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document.write( " = -1^45 * i^1
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document.write( " = -1 * i
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document.write( " = -i
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document.write( "
Algebra.Com's Answer #2181 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Since 91 = 3 mod 4 \n" ); document.write( " i^91 = i^3 = -i \n" ); document.write( " \n" ); document.write( " That's the whole story for this kind of baby math. \n" ); document.write( " Forget any solution more than two lines. \n" ); document.write( " If you still confused, think more and work hard\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " |