Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter9: Roots And Radicals
Section9.3: Add And Subtract Square Roots
Problem 232E: Explain the process for determining whether two radicals are like or unlike. Make sure your answer...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06c7d188-ea08-4c6f-ba8f-15107f668264%2F2cf8cf05-667a-4307-9088-4a21de9a7a82%2Fjjvjomh_processed.png&w=3840&q=75)
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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