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12. Which is not correct in the exponential value? a. 24=16 b. 162=4 c. 4?=16 d. 16=1/24

12. Which is not correct in the exponential value? a. 24=16 b. 162=4 c. 4?=16 d. 16=1/24

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:** 12. Which is not correct in the exponential value? **Options:** a. \(2^4 = 16\) b. \(16^{1/2} = 4\) c. \(4^2 = 16\) d. \(16 = 1/2^4\) **Explanation:** - **Option a**: \(2^4 = 16\) is correct because \(2 \times 2 \times 2 \times 2 = 16\). - **Option b**: \(16^{1/2} = 4\) is correct because \(\sqrt{16} = 4\). - **Option c**: \(4^2 = 16\) is correct because \(4 \times 4 = 16\). - **Option d**: \(16 = 1/2^4\) is incorrect because \(2^4 = 16\) does not equal its reciprocal \(\frac{1}{2^4} = \frac{1}{16}\). Therefore, the incorrect statement is **d**.
Transcribed Image Text:**Question:** 12. Which is not correct in the exponential value? **Options:** a. \(2^4 = 16\) b. \(16^{1/2} = 4\) c. \(4^2 = 16\) d. \(16 = 1/2^4\) **Explanation:** - **Option a**: \(2^4 = 16\) is correct because \(2 \times 2 \times 2 \times 2 = 16\). - **Option b**: \(16^{1/2} = 4\) is correct because \(\sqrt{16} = 4\). - **Option c**: \(4^2 = 16\) is correct because \(4 \times 4 = 16\). - **Option d**: \(16 = 1/2^4\) is incorrect because \(2^4 = 16\) does not equal its reciprocal \(\frac{1}{2^4} = \frac{1}{16}\). Therefore, the incorrect statement is **d**.
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