Simplify |(2(14-12))/2|^3-|3-6|

${| \frac{2 (14 - 12)}{2} |}^{3} - | 3 - 6 |$

Simplify each term.

Cancel the common factor of $2$ .

Cancel the common factor.

${| \frac{2 (14 - 12)}{2} |}^{3} - | 3 - 6 |$

Divide $14 - 12$ by $1$ .

${| 14 - 12 |}^{3} - | 3 - 6 |$

Subtract $12$ from $14$ .

${| 2 |}^{3} - | 3 - 6 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2^{3} - | 3 - 6 |$

Raise $2$ to the power of $3$ .

$8 - | 3 - 6 |$

Subtract $6$ from $3$ .

$8 - | - 3 |$

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$8 - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$8 - 3$

Subtract $3$ from $8$ .

$5$