Question

1. $-|-16| div \frac{(3^2 - 4)}{5 - 10}$

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: \(5 - 10=-5\). Now the expression is \(-16\div\frac{5}{-5}\).

Step3: Simplify the fraction

Simplify \(\frac{5}{-5}=-1\). The expression is now \(-16\div(-1)\).

Step4: Perform the division

Dividing two negative numbers gives a positive result. So \(-16\div(-1) = 16\).

Answer:

\(16\)