Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 370: 37

$\frac{w}{z}$ = $-i$

For $w = -1 + i$ and $z = -1 -i$, the quotient $\frac{w}{z}$ is $\frac{w}{z}$ = $\frac{-1 + i}{-1 - i}$ = $\frac{-1 + i}{-1 - i}\cdot \frac{-1 + i}{-1 + i}$ = $\frac{(-1+i)^2}{2}$ = $\frac{(-1)^2+2(-1)i+i^2}{2}$ = $\frac{1-2i-1}{2}$ ($i^2 = -1$) = $-i$