Evaluate the given expression. 2.8! 256
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Evaluate the Given Expression:**
Expression: \(2 \cdot 8!\)
**Student's Response:**
Input: \(256\)
[Incorrect Indicator: A red "X" mark next to the input]
**Additional Options:**
- Show My Work (Optional)
*Button: "Submit Answer"*
**Explanation:**
The expression given is \(2 \cdot 8!\), where \(8!\) denotes 8 factorial, meaning the product of all positive integers up to 8. Evaluating this expression involves calculating \(8!\) first:
\(8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320\).
Then, multiply the result by 2:
\(2 \cdot 40,320 = 80,640\).
The student's input of 256 is incorrect. The correct evaluation should be 80,640.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08380473-2cd9-40f2-93c8-927cbd0340d9%2F161154dd-0a91-42c1-bfc7-3c4acecba3b3%2Fqgmttl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Evaluate the Given Expression:**
Expression: \(2 \cdot 8!\)
**Student's Response:**
Input: \(256\)
[Incorrect Indicator: A red "X" mark next to the input]
**Additional Options:**
- Show My Work (Optional)
*Button: "Submit Answer"*
**Explanation:**
The expression given is \(2 \cdot 8!\), where \(8!\) denotes 8 factorial, meaning the product of all positive integers up to 8. Evaluating this expression involves calculating \(8!\) first:
\(8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320\).
Then, multiply the result by 2:
\(2 \cdot 40,320 = 80,640\).
The student's input of 256 is incorrect. The correct evaluation should be 80,640.
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