Answer
$-\dfrac{19}{42}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the order of operations (PEMDAS - Parenthesis/Exponents, Multiplication/Division, Addition/Subtraction) to simplify the given expression, $
\dfrac{(-7)(-3)-(-2^3)(-5)}{(-2^2-2)(-1-6)}
.$
$\bf{\text{Solution Details:}}$
Simplifying the exponents, the expression above becomes
\begin{array}{l}\require{cancel}
\dfrac{(-7)(-3)-(-8)(-5)}{(-4-2)(-1-6)}
.\end{array}
Simplifying the parenthesis, the expression above becomes
\begin{array}{l}\require{cancel}
\dfrac{(-7)(-3)-(-8)(-5)}{(-6)(-7)}
.\end{array}
Simplifying the product/quotient, the expression above becomes
\begin{array}{l}\require{cancel}
\dfrac{21-40}{42}
.\end{array}
Simplifying the sum/difference by making the fractions similar, the expression above becomes
\begin{array}{l}\require{cancel}
\dfrac{-19}{42}
\\\\=
-\dfrac{19}{42}
.\end{array}
