Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 66: 67

$-5$

Using order of operations, the given expression, $ \dfrac{-3^3-2\cdot3^2}{8\div2^2-(6-|2-15|)} $, evaluates to \begin{array}{l} \dfrac{-27-2\cdot9}{8\div4-(6-|-13|)} \\\\= \dfrac{-27-18}{2-(6-13)} \\\\= \dfrac{-45}{2-(-7)} \\\\= \dfrac{-45}{2+7} \\\\= \dfrac{-45}{9} \\\\= -5 .\end{array}