Evaluate 3/4|-4-2(6)^2|

$\frac{3}{4} | - 4 - 2 {(6)}^{2} |$

Step 1

Simplify each term.

Raise $6$ to the power of $2$ .

$\frac{3}{4} \cdot | - 4 - 2 \cdot 36 |$

Multiply $- 2$ by $36$ .

$\frac{3}{4} \cdot | - 4 - 72 |$

Step 2

Subtract $72$ from $- 4$ .

$\frac{3}{4} \cdot | - 76 |$

Step 3

Remove non-negative terms from the absolute value.

$\frac{3}{4} \cdot 76$

Step 4

Cancel the common factor of $4$ .

Factor $4$ out of $76$ .

$\frac{3}{4} \cdot (4 (19))$

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 19)$

Rewrite the expression.

$3 \cdot 19$

Step 5

Multiply $3$ by $19$ .

$57$