2) 2 A) 1 C) i 1) f A) 1 C) i B) -1 D) -i B) -1 D) -i

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer this for me mate. Much appreciated.

The image contains a set of multiple-choice questions focused on powers of the imaginary unit \( i \).

1) \( i^{55} \)
   - A) 1
   - B) -1
   - C) \( i \)
   - D) -\( i \)

2) \( i^{22} \)
   - A) 1
   - B) -1
   - C) \( i \)
   - D) -\( i \)

3) \( i^{17} \)
   - A) -1
   - B) 1
   - C) \( i \)
   - D) -\( i \)

4) \( i^{104} \)
   - A) 1
   - B) \( i \)
   - C) -1
   - D) -\( i \)

**Instruction:**

The questions test knowledge of the cyclical nature of the powers of the imaginary unit \( i \), where:
- \( i^1 = i \)
- \( i^2 = -1 \)
- \( i^3 = -i \)
- \( i^4 = 1 \)

This cycle repeats every four exponents. Use this pattern to solve the problems.
Transcribed Image Text:The image contains a set of multiple-choice questions focused on powers of the imaginary unit \( i \). 1) \( i^{55} \) - A) 1 - B) -1 - C) \( i \) - D) -\( i \) 2) \( i^{22} \) - A) 1 - B) -1 - C) \( i \) - D) -\( i \) 3) \( i^{17} \) - A) -1 - B) 1 - C) \( i \) - D) -\( i \) 4) \( i^{104} \) - A) 1 - B) \( i \) - C) -1 - D) -\( i \) **Instruction:** The questions test knowledge of the cyclical nature of the powers of the imaginary unit \( i \), where: - \( i^1 = i \) - \( i^2 = -1 \) - \( i^3 = -i \) - \( i^4 = 1 \) This cycle repeats every four exponents. Use this pattern to solve the problems.
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