document.write( "Question 221204: simplify imaginary i^33
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Algebra.Com's Answer #165955 by drj(1380)\"\" \"About 
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simplify imaginary i^33
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\n" ); document.write( "\n" ); document.write( "Step 1. Since \"i=sqrt%28-1%29\", then \"i%5E2=sqrt%5E2%28-1%29=-1\". Also, \"i%5E3=-i\" and \"i%5E4=1\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Therefore \"i%5E33=%28i%5E4%29%5E8%2Ai=1%5E8%2Ai=i\" where \"%28i%5E4%29%5E8=i%5E32\".\r
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\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER: \"i%5E33=i\"\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
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