### Day 3#### Mathematics - Exponents and Powers**1. Is -5² equal to (-5)²?**- A) Yes, because they both equal -25.- B) Yes, because they both equal -10.- C) Yes, because they both equal 25.- D) No, because -5² equals -25 and (-5)² equals 25.**Answer Explanation:**- To understand the difference, calculate both: - -5²: Here, the exponent applies only to 5, then the negative sign is applied. Therefore, $ -5^2 = -25 $. - (-5)²: Here, the exponent applies to -5 as a whole. Therefore, $ (-5)^2 = 25 $. Thus, the correct answer is **D) No, because -5² equals -25 and (-5)² equals 25.**#### Name: ________---**Note for Educators:**This exercise is designed to help students understand the properties of exponents and the importance of parentheses in mathematical expressions. It corrects common misconceptions, emphasizing that the exponent acts differently depending on the placement of negative signs and parentheses.

Answered: Image /qna-images/answer/127ad454-4ab7-43db-9faa-35ba5fd70631.jpg

Answered: 1. Is -52 equal to (-5)² ? A Yes,…

1. Is -52 equal to (-5)² ? A Yes, because they both equal -25. B Yes, because they both equal -10. Yes, because they both equal 25. No, because -52 equals -25 and (-5)² equals 25.

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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Question

### Day 3

#### Mathematics - Exponents and Powers

**1. Is -5² equal to (-5)²?**

- A) Yes, because they both equal -25.
- B) Yes, because they both equal -10.
- C) Yes, because they both equal 25.
- D) No, because -5² equals -25 and (-5)² equals 25.

**Answer Explanation:**
- To understand the difference, calculate both:
- -5²: Here, the exponent applies only to 5, then the negative sign is applied. Therefore, $ -5^2 = -25 $.
- (-5)²: Here, the exponent applies to -5 as a whole. Therefore, $ (-5)^2 = 25 $.

Thus, the correct answer is **D) No, because -5² equals -25 and (-5)² equals 25.**

#### Name: ________

---

**Note for Educators:**
This exercise is designed to help students understand the properties of exponents and the importance of parentheses in mathematical expressions. It corrects common misconceptions, emphasizing that the exponent acts differently depending on the placement of negative signs and parentheses.

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