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Concept explainers
a.
To find: The properties of exponents used to simplify an expression for the volume of each cube.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 57E
We use rule of power of a product property of exponents.
Explanation of Solution
Given information: There are two cubes with side lengths 2x and 6x .
Formula used: Volume of cube is
Calculation:
Using formula to find volume of a cube,
Volume of small cube=
Let’s use power of a product property of exponents
Volume of big cube
b.
To Explain: how to use power of quotient property to explain how many times the greater cube has volume than small cube.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 57E
We do subtract the exponents to simplify the exponents which gives Big cube is 27 times more volume than small cube.
Explanation of Solution
Given information: The volume of small cube is
Calculation:
Volume of big cube=
Volume of small cube=
Now, let’s find how many times big cube is greater than small cube.
=27 (here
We do subtract the exponents to simplify which gives Big cube is 27 times more volume than small cube.
Chapter 6 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- 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
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