document.write( "Question 4005: I know that i^2 is -1 but what is i^3 and i^4 ? \n" ); document.write( "

Algebra.Com's Answer #1762 by longjonsilver(2297) $\"\"$ $\"About$

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powers of i go in a 4-power cycle:\r
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\n" ); document.write( "\n" ); document.write( "i is defined as $\"sqrt%28-1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "starting with i
\n" ); document.write( "--> $\"i%5E2+=+-1\"$
\n" ); document.write( "--> $\"i%5E3+=+-i\"$
\n" ); document.write( "--> $\"i%5E4+=+1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"i%5E5\"$ is then i again, and the whole thing repeats.\r
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\n" ); document.write( "\n" ); document.write( "Jon.\r
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