document.write( "Question 528384: Please explain to me how to do these types of problems: i^55 \n" ); document.write( "

Algebra.Com's Answer #349265 by Alan3354(69443) $\"\"$ $\"About$

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Please explain to me how to do these types of problems: i^55
\n" ); document.write( "----------
\n" ); document.write( "i^1 = 1
\n" ); document.write( "i^2 = -1
\n" ); document.write( "i^3 = -i
\n" ); document.write( "i^4 = 1
\n" ); document.write( "-------
\n" ); document.write( " $\"i%5E%284n%29+=+1\"$
\n" ); document.write( " $\"i%5E55+=+i%5E52%2Ai%5E3+=+1%2Ai%5E3\"$
\n" ); document.write( " $\"i%5E55+=+-i\"$
\n" ); document.write( "-----------
\n" ); document.write( "Divide the exponent by 4.
\n" ); document.write( "55/4 = 13 remainder 3
\n" ); document.write( " $\"i%5E55+=+i%5Eremainder\"$
\n" ); document.write( " \n" ); document.write( "

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