# Category:Definitions/Integer Powers

This category contains definitions related to Integer Powers.
Related results can be found in Category:Integer Powers.

Let $x \in \R$ be a real number.

Let $n \in \Z$ be an integer.

The expression $x^n$ is called $x$ to the power of $n$.

$x^n$ is defined recursively as:

$x^n = \begin{cases} 1 & : n = 0 \\ & \\ x \times x^{n - 1} & : n > 0 \\ & \\ \dfrac {x^{n + 1} } x & : n < 0 \end{cases}$

where $\dfrac{x^{n + 1} } x$ denotes quotient.

## Subcategories

This category has only the following subcategory.

## Pages in category "Definitions/Integer Powers"

The following 5 pages are in this category, out of 5 total.