Concept

Exponent

An exponent is a number or expression written above a number, indicating that it is being multiplied by itself. The notation is made up of a base – the number being multiplied – and an exponent, which gives the number of times the base appears in the multiplication.

The resulting number is commonly called a power. In this example, there are $4$ instances of the base $7$ in the multiplication being expressed. $7^{4} = 4 7 \cdot 7 \cdot 7 \cdot 7$ Most exponential expressions are read in mostly the same ways, whether they are numeric or algebraic.

Expression	Example $1$	Example $2$
$7^{4}$	$7$ raised to the power of $4$	$7$ raised to the fourth power
$x^{9}$	$x$ to the power of $9$	$x$ to the ninth power
$2^{2}$	$2$ to the second	$2$ squared
$m^{3}$	$m$ to the third	$m$ cubed

Notice in the examples above that two special cases were included; when a number or variable is raised to the power of $2$ or $3,$ the exponential expression can be read as squared or cubed, respectively.