Concept explainers
(a)
To prove: the given Laws of exponents for the case in which
(a)
Explanation of Solution
Given information:
Law 2
Calculation:
Consider two positive numbers
Then, prove:
First, rewrite
Since,
(b)
To prove: the given Laws of exponents for the case in which
(b)
Explanation of Solution
Given information:
Law 5
Calculation:
Consider,
Then prove:
First rewrite
The law for powers of a product states that for ant two numbers
Now, evaluate the expression
Finally, rewrite
(c)
To prove: the given Laws of exponents for the case in which
(c)
Answer to Problem 94E
Explanation of Solution
Given information:
Law 6
Calculation:
Consider,
Then prove:
First rewrite the expression
Therefore, for any two numbers
Apply the law to the expression
Rewrite as a product and apply the law of negative exponents to
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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