document.write( "Question 87260: find the value of the complex number $\"i%5E5\"$ \n" ); document.write( "

Algebra.Com's Answer #63195 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"i%5E5\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"i%5E2%2Ai%5E2%2Ai\"$ Factor $\"i%5E5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Since $\"i%5E2=-1\"$ we can replace $\"i%5E2\"$ with -1\r
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\n" ); document.write( "\n" ); document.write( " $\"%28-1%29%2A%28-1%29%2Ai\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"i\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( "So $\"i%5E5=i\"$ \n" ); document.write( "

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