# To rewrite: the given expression by Properties of real numbers. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 23E
To determine

## To rewrite: the given expression by Properties of real numbers.

Expert Solution

Using Associative Property and distributive propertyof real numbers the expression can be written as 10y+5x .

### Explanation of Solution

Given information:

An expression is given as

52(2x4y)

Concept used:

Associative Property of multiplication of real numbers:

If three real numbers are multiplied then the result does not depend on the order of multiplication.

Suppose a, b, and c are three real numbers, Associative Property of multiplication says that

a(bc)=(ab)c

Distributive property over addition of real numbers:

Suppose a , b, and c are three real numbers, Distributive property says that

a(b+c)=ab+ac

Product of a number with a sum can be changed to sum of products.

Calculation:

Consider the expression and simplify as shown:

52(2x4y)=[(522)x(524)y]=(5x10y)=10y+5x

Therefore, 52(2x4y) , can be written by using Associative Property and distributive property of real numbers, as 10y+5x .

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