Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Problem 16: Simplify the Expression
Simplify the expression:
\[ 5 + (4b)^0 \]
#### Options:
A. 1
B. 5
C. 6
D. 9
### Solution:
When simplifying expressions involving exponents, it is important to know the properties of exponents. One such property is the zero exponent rule which states that any non-zero number raised to the power of zero is equal to one. Consequently, for any non-zero value of \( b \):
\[ (4b)^0 = 1 \]
Thus, the given expression simplifies to:
\[ 5 + 1 = 6 \]
Therefore, the simplified form of the expression is 6.
#### Correct Answer:
C. 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F076c3864-7786-4382-9dae-47b721ed5820%2F950ad6c8-b988-4f56-9ceb-65b9fcfc35c9%2F0986ygl_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem 16: Simplify the Expression
Simplify the expression:
\[ 5 + (4b)^0 \]
#### Options:
A. 1
B. 5
C. 6
D. 9
### Solution:
When simplifying expressions involving exponents, it is important to know the properties of exponents. One such property is the zero exponent rule which states that any non-zero number raised to the power of zero is equal to one. Consequently, for any non-zero value of \( b \):
\[ (4b)^0 = 1 \]
Thus, the given expression simplifies to:
\[ 5 + 1 = 6 \]
Therefore, the simplified form of the expression is 6.
#### Correct Answer:
C. 6
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