Question 2(Multiple Choice Worth 2 points) (01.06 MC) Simplify r^38 -1 -i 1

Name: Question 2(Multiple Choice Worth 2 Points) (01.06 MC) Simplify R^38 -1 -i 1
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Question

Answer 1

## Step 1: Simplify

using the cycle of powers of

### The powers of

repeat in a cycle of 4:

,

. To simplify

, we find the remainder when 38 is divided by 4.

with a remainder of 2. Therefore,

is equivalent to

.## Step 2: Evaluate

### Since

by definition,

.

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