Evaluate (-|-16|)÷((3^2-4)/(5-10))

$- | - 16 | \div \frac{(3^{2} - 4)}{5 - 10}$

To divide by a fraction, multiply by its reciprocal.

$- | - 16 | \frac{5 - 10}{3^{2} - 4}$

The absolute value is the distance between a number and zero. The distance between $- 16$ and $0$ is $16$ .

$- 1 \cdot 16 \frac{5 - 10}{3^{2} - 4}$

Simplify the expression.

Multiply $- 1$ by $16$ .

$- 16 \frac{5 - 10}{3^{2} - 4}$

Subtract $10$ from $5$ .

$- 16 \frac{- 5}{3^{2} - 4}$

Simplify the denominator.

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

$- 16 \frac{- 5}{9 - 4}$

Subtract $4$ from $9$ .

$- 16 (\frac{- 5}{5})$

Simplify the expression.

Divide $- 5$ by $5$ .

$- 16 \cdot - 1$

Multiply $- 16$ by $- 1$ .

$16$