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7. Which of the following is not true? a. 8 =23 b. 1=20 c. 5-2 = 1/25 d. 31=1

7. Which of the following is not true? a. 8 =23 b. 1=20 c. 5-2 = 1/25 d. 31=1

Algebra and Trigonometry (6th Edition)
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 7: Evaluate Mathematical Truth** **Which of the following is not true?** a. \(8 = 2^3\) b. \(1 = 2^0\) c. \(5^{-2} = \frac{1}{25}\) d. \(3^1 = 3\) **Explanation:** - **Option a:** True, because \(2^3 = 2 \times 2 \times 2 = 8\). - **Option b:** True, because any non-zero number raised to the power of zero is 1, therefore, \(2^0 = 1\). - **Option c:** True, because \(5^{-2} = \frac{1}{5^2} = \frac{1}{25}\). - **Option d:** False, because \(3^1 = 3\), not 1. **Incorrect Statement:** Option d.
Transcribed Image Text:**Question 7: Evaluate Mathematical Truth** **Which of the following is not true?** a. \(8 = 2^3\) b. \(1 = 2^0\) c. \(5^{-2} = \frac{1}{25}\) d. \(3^1 = 3\) **Explanation:** - **Option a:** True, because \(2^3 = 2 \times 2 \times 2 = 8\). - **Option b:** True, because any non-zero number raised to the power of zero is 1, therefore, \(2^0 = 1\). - **Option c:** True, because \(5^{-2} = \frac{1}{5^2} = \frac{1}{25}\). - **Option d:** False, because \(3^1 = 3\), not 1. **Incorrect Statement:** Option d.
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