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: \(5 - 10=-5\). 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:

\(16\)