# Definition:Power (Algebra)/Exponent

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## Definition

In the expression $x^r$, the number $r$ is known as the **exponent** of $x$, particularly for $r \in \R$.

## Also known as

The **exponent** is also called the **index** (plural **indices**).

## Sources

- 1997: Donald E. Knuth:
*The Art of Computer Programming: Volume 1: Fundamental Algorithms*(3rd ed.) ... (previous) ... (next): $\S 1.2.2$: Numbers, Powers, and Logarithms: $(4)$ - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**index (indices)**