Simplify the complex number expression i^75?

A i

B -i

C 1

D -1

✓ Correct Answer: Option B

To simplify i^75, divide 75 by 4. The remainder is 3. So, i^75 = i^3. Since i^1=i, i^2=-1, i^3=-i, and i^4=1, the result is -i.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the complex number expression i^75?" is Option B: -i.

The other options — A) i, C) 1, D) -1 — are incorrect for this CLEP Exam Prep question. As explained above: To simplify i^75, divide 75 by 4. The remainder is 3. So, i^75 = i^3. Since i^1=i, i^2=-1, i^3=-i, and i^4=1, the result is -i.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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Simplify the complex number expression i^75?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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