# The simplified form of the expression, 2 1 2 ⋅ 8 1 2

### 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 17RE
To determine

## To calculate: The simplified form of the expression, 212⋅812

Expert Solution

The simplified form of the expression is, 22=4 .

### Explanation of Solution

Given information:

The expression , 212812

Formula used:

The algebraic identity: ambm=abm .

And the factorization method.

Calculation:

Consider the expression, 212812

Apply the identity: ambm=abm .

212812=1612

Split the term,

1612=(2)4×12=(2)2=4

The above expression can’t be simplified further.

Thus, the simplified form of the expression is . 22=4

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