12. When you raise a positive whole number to a power that is a negative integer, you get a negative number as an answer. true false

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 12:

When you raise a positive whole number to a power that is a negative integer, you get a negative number as an answer. *

- ( ) true
- ( ) false

**Explanation:**

This question is addressing the misunderstanding that raising a positive number to a negative exponent results in a negative number. In reality, raising a positive whole number to a negative exponent results in the reciprocal of the number raised to the corresponding positive exponent. This will always be a positive fraction (or a positive number less than one) as long as the base is positive.

**For example**:
\[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \]

So the correct answer is:
- false
Transcribed Image Text:### Question 12: When you raise a positive whole number to a power that is a negative integer, you get a negative number as an answer. * - ( ) true - ( ) false **Explanation:** This question is addressing the misunderstanding that raising a positive number to a negative exponent results in a negative number. In reality, raising a positive whole number to a negative exponent results in the reciprocal of the number raised to the corresponding positive exponent. This will always be a positive fraction (or a positive number less than one) as long as the base is positive. **For example**: \[ 2^{-2} = \frac{1}{2^2} = \frac{1}{4} \] So the correct answer is: - false
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