# The simplified form of the expression, 4 4 ⋅ 324 4

### 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, Problem 16RE
To determine

## To calculate: The simplified form of the expression, 44⋅3244

Expert Solution

The simplified form of the expression is, 362 .

### Explanation of Solution

Given information:

The expression , 443244

Formula used:

The algebraic identity: a24=a4,ambm=abm here by square the root is canceled out.

And the factorization method.

Calculation:

Consider the expression, 443244

Factorization of numerator.

Rewrite the expression: 443244=(2)24(18)24

Apply the identity: a24=a4

443244=(2)24(18)24=(2)4(18)2

Applying the identity:

Rewrite the expression:

(2)2(18)2=362

The above expression can’t be simplified further.

Thus, the simplified form of the expression is . 362

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