Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 66: 65

$-10$

Using order of operations, the given expression, $ \dfrac{7^2-(-1)^7}{5\cdot7-4\cdot3^2-2^2} $, evaluates to \begin{array}{l} \dfrac{49-(-1)}{35-4\cdot9-4} \\\\= \dfrac{49+1}{35-36-4} \\\\= \dfrac{50}{-1-4} \\\\= \dfrac{50}{-5} \\\\= -10 .\end{array}