Category:Integer Powers

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This category contains results about Integer Powers.
Definitions specific to this category can be found in Definitions/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 the following 15 subcategories, out of 15 total.

P

Pages in category "Integer Powers"

This category contains only the following page.