Definition:Power (Algebra)/Exponent

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


Example: $2^2$

In the expression:


the exponent is $2$ (the second one), while the second power of $2$ is $4$.

Also known as

The exponent of a power operation is also called the index (plural indices).

Sometimes power is used to mean the exponent, but strictly speaking power refers to the result of the operation.

Also see

  • Results about exponents can be found here.