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.

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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