document.write( "Question 176226: the subject area is on imaginary numbers. what is i to the power of 359 equal to. \n" ); document.write( "
Algebra.Com's Answer #131322 by solver91311(24713)\"\" \"About 
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The powers of i go in a cycle of 4:\r
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\n" ); document.write( "\n" ); document.write( "\"i%5E0+=+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"i%5E1+=+i\"\r
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\n" ); document.write( "\n" ); document.write( "\"i%5E2+=+-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"i%5E3+=+i%5E2+%2A+i%5E1+=+-1+%2A+i+=+-i\"\r
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\n" ); document.write( "\n" ); document.write( "\"i%5E4+=+i%5E2+%2A+i%5E2+=+-1+%2A+-1+=+1+=+i%5E0\"\r
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\n" ); document.write( "\n" ); document.write( "and so on...\r
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\n" ); document.write( "\n" ); document.write( "So, using integer division, divide 359 by 4 and find the remainder. i raised to the power of 359 is equal to i raised to the power of the remainder when 359 is divided by 4.
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