SOLUTION: simplify imaginary i^33 as much as possible

Question 221204: simplify imaginary i^33
as much as possible

Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
simplify imaginary i^33
as much as possible

Step 1. Since , then . Also, and

Step 2. Therefore where .

Step 3. ANSWER:

I hope the above steps were helpful.

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Dr J

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Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
simplify imaginary i^33 as much as possible

When calculating large powers of , we simply need to divide the exponent by 4, and the remainder is our answer. That is:

= = and remainder of . As mentioned before, this remainder will be the answer, which is

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