Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 66: 68

$2$

Using order of operations, the given expression, $ \dfrac{(-5)^2-3\cdot5}{3^2+4\cdot|6-7|\cdot(-1)^5} $, evaluates to \begin{array}{l} \dfrac{25-15}{9+4\cdot|-1|\cdot(-1)} \\\\= \dfrac{10}{9+4\cdot1\cdot(-1)} \\\\= \dfrac{10}{9-4} \\\\= \dfrac{10}{5} \\\\= 2 .\end{array}