Which expression is equal to 2^3 ? (2^3 means 2 raised to the power of 3) Choose all that apply, 2*2*2 6 8 2^5 / 2^2 2^1 * 2^2

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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### Understanding Exponents: Question and Multiple Choice

**Question:**
Which expression is equal to 2^3 ? (2^3 means 2 raised to the power of 3). Choose all that apply.

**Options:**

1. [ ] 2*2*2
2. [ ] 6
3. [ ] 8
4. [ ] 2^5 / 2^2
5. [ ] 2^1 * 2^2

**Explanation of Options:**

1. **2*2*2:**
   - Multiplying 2 by itself three times. 

2. **6:**
   - The number 6.

3. **8:**
   - Number 8, which is 2 raised to the power of 3 (2^3 = 8).

4. **2^5 / 2^2:**
   - The expression simplifies to 2^(5-2) = 2^3.

5. **2^1 * 2^2:**
   - This is the same as 2^(1+2) = 2^3.

### Helpful Tips

- **Understanding Exponents:**
  - 2^3 means multiplying 2 by itself 3 times (2 * 2 * 2).
  - Simplify expressions involving exponents by using the power rules.

- **Pop Quiz:**
  - Try finding which options listed are equivalent to 8 or 2^3 by performing the necessary arithmetic calculations.

This content is aimed to help students understand how to evaluate and interpret expressions involving exponents. By practicing with these questions, students will gain a stronger grasp of the concept and enhance their mathematical accuracy and confidence.
Transcribed Image Text:### Understanding Exponents: Question and Multiple Choice **Question:** Which expression is equal to 2^3 ? (2^3 means 2 raised to the power of 3). Choose all that apply. **Options:** 1. [ ] 2*2*2 2. [ ] 6 3. [ ] 8 4. [ ] 2^5 / 2^2 5. [ ] 2^1 * 2^2 **Explanation of Options:** 1. **2*2*2:** - Multiplying 2 by itself three times. 2. **6:** - The number 6. 3. **8:** - Number 8, which is 2 raised to the power of 3 (2^3 = 8). 4. **2^5 / 2^2:** - The expression simplifies to 2^(5-2) = 2^3. 5. **2^1 * 2^2:** - This is the same as 2^(1+2) = 2^3. ### Helpful Tips - **Understanding Exponents:** - 2^3 means multiplying 2 by itself 3 times (2 * 2 * 2). - Simplify expressions involving exponents by using the power rules. - **Pop Quiz:** - Try finding which options listed are equivalent to 8 or 2^3 by performing the necessary arithmetic calculations. This content is aimed to help students understand how to evaluate and interpret expressions involving exponents. By practicing with these questions, students will gain a stronger grasp of the concept and enhance their mathematical accuracy and confidence.
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