Concept explainers
(a)
To fill: The blank in the statement “Using exponential notation, we can write
(a)
Answer to Problem 3E
The complete statement is “Using exponential notation, we can write
Explanation of Solution
Formula used:
Formula for nth root:
Where, a is any real number called as base and n is an integer.
Calculation:
The given expression is
Use the above formula and write the exponential notation as shown below.
Thus, the complete statement is “Using exponential notation, we can write
(b)
To fill: The blank in the statement “Using radicals, we can write
(b)
Answer to Problem 3E
The complete statement is “Using radicals, we can write
Explanation of Solution
The given expression is
Use the formula mentioned in sub part (a) and write the given exponential expression in the radical form as shown below.
Thus, the complete statement is “Using radicals, we can write
(c)
Whether there is any difference between the values of
(c)
Explanation of Solution
Formula used:
Formula for nth root:
Where, a is any real number called as base and n is an integer.
Calculation:
Consider the expression,
Using the above formula and simplify the expression as shown below.
Thus, the value of
Now, consider the expression
Use the above formula and simplify the expression as follows.
Therefore, it can be clearly observed that there is no difference between the values of
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning