Extra explanation | Wiskunde op Tilburg University

Definition: A function of the form

$x^{-k}=\frac{1}{x^k}$ , with

$k$ a non-negative integer, is called a negative integer power function.

Extra explanation 1: Since it is not allowed to divide by zero,

$x=0$ is not an element of the domain of this function.

Extra explanation 2: A negative integer power function has no zeros.