Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - Review Exercises: Chapter 1 - Page 76: 21

Answer

The three expressions equivalent to the given expression are $(4x)y$, $(xy)4$ and $y(4x)$.

Work Step by Step

According to associative law, in an expression, the numbers can be grouped in any manner. So, the given expression can be written as the following expression: $(4x)y$ According to commutative law, in an expression, the numbers operated can be written in any order. So, the given expression can be written as the following expression: $(xy)4$ Since, the given expression is also equivalent to $(4x)y$. Using commutative law, the expression $y(4x)$ is also equivalent to the given expression. Therefore, the three expressions equivalent to the given expression are $(4x)y$, $(xy)4$ and $y(4x)$.
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