document.write( "Question 181243: i^-19= here are my choices 1, -1, i, -i\r
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Algebra.Com's Answer #135893 by Mathtut(3670) $\"\"$ $\"About$

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i=i
\n" ); document.write( "i^2=-1
\n" ); document.write( "i^3=-i
\n" ); document.write( "i^4=1
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\n" ); document.write( "so any multiple of i^4=1
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\n" ); document.write( "divide 19 by 4 =4 and 3 left over so
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\n" ); document.write( " $\"i%5E19=i%5E16%2Ai%5E3\"$ = 1(-i)=-i
\n" ); document.write( ":
\n" ); document.write( " $\"i%5E-19+=1%2F%28i%5E19%29=1%2F%28-i%29\"$ multiply top and bottom by -i= $\"-i%2F-1=i\"$
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\n" ); document.write( "answer is i \n" ); document.write( "

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