12. $-|-16| div \frac{(3^2 - 4)}{5 - 10}$

12. $-|-16| div \frac{(3^2 - 4)}{5 - 10}$

12. $-|-16| div \frac{(3^2 - 4)}{5 - 10}$

Answer

Explanation:

Step1: Calculate absolute value and exponent

First, calculate the absolute value (|-16| = 16) and the exponent (3^2=9). So the expression becomes (-16\div\frac{9 - 4}{5 - 10}).

Step2: Simplify numerator and denominator of the fraction

Simplify the numerator of the fraction: (9 - 4 = 5), and the denominator: (5 - 10=-5). So the fraction is (\frac{5}{-5}=-1). Now the expression is (-16\div(-1)).

Step3: Perform the division

Dividing (-16) by (-1) gives (16).

Answer:

(16)