document.write( "Question 989679: How 1/i becomes i/(-1)? \n" ); document.write( "

Algebra.Com's Answer #609911 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"1%2Fi\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2Ai%29%2F%28i%2Ai%29\"$ Multiply top and bottom by i\r
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\n" ); document.write( "\n" ); document.write( " $\"i%2F%28i%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"i%2F%28-1%29\"$ Use the idea that $\"i%5E2=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So $\"1%2Fi\"$ is equivalent to $\"i%2F%28-1%29\"$ \n" ); document.write( "

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