Evaluate |1/2(16-6^3)|

$| \frac{1}{2} (16 - 6^{3}) |$

Simplify each term.

Raise $6$ to the power of $3$ .

$| \frac{1}{2} \cdot (16 - 1 \cdot 216) |$

Multiply $- 1$ by $216$ .

$| \frac{1}{2} \cdot (16 - 216) |$

Reduce the expression by cancelling the common factors.

Subtract $216$ from $16$ .

$| \frac{1}{2} \cdot - 200 |$

Cancel the common factor of $2$ .

Factor $2$ out of $- 200$ .

$| \frac{1}{2} \cdot (2 (- 100)) |$

Cancel the common factor.

$| \frac{1}{2} \cdot (2 \cdot - 100) |$

Rewrite the expression.

$| - 100 |$

The absolute value is the distance between a number and zero. The distance between $- 100$ and $0$ is $100$ .

$100$