Question 3(Multiple Choice Worth 2 points) (01.06 MC) Simplify r^31 1 -1 i -i

Name: Question 3(Multiple Choice Worth 2 Points) (01.06 MC) Simplify R^31 1 -1 I -i
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Question

Answer 1

## Step 1: Simplify using powers of

### We know that

,

, and

. These powers of

repeat in a cycle of 4. To simplify

, we can find the remainder when 31 is divided by 4.## Step 2: Finding the remainder###

with a remainder of 3. This means

.## Step 3: Substituting the value of

### Since

, we have

.

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