Concept explainers
To show: The negative exponent property can be derived from the quotient of powers property and the zero exponent property.
Given information:
Properties are the negative exponent property, quotient of powers property and the zero exponent property
Explanation:
The negative exponent property states that
Let us start with the left side of the equation and try deriving the expression on the right.
By the zero-exponent rule,
Now, the quotient of the two powers can be found by applying the quotient of powers property,
The left side simplifies to the right side.
Thus, we have derived the negative exponent property the quotient of powers property and the zero exponent property.
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education