# To prove that | a b | = | a | | b | ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter A, Problem 43E
To determine

## To calculate: To prove that |ab|=|a||b|

Expert Solution

Is proved that |ab|=|a||b|

### Explanation of Solution

Given information: Equation |ab|=|a||b|

Formula Used:

If |x|=a , then x=±a and x=a2

Calculation:

Equation is given as

|ab|=|a||b|

Consider left hand side of the equation,

|ab|=a2b2|ab|=a2×b2|ab|=|a|×|b||ab|=|a||b|

Thus, left hand side of equation is equal to right hand side of equation

Conclusion:

Hence, proved that |ab|=|a||b|

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