Base (Algebra)

A diagram showing the parts of an exponential expression with a number 3 labeled 'Coefficient, a variable x with an arrow pointing upwards to the variable labeled 'Base,' and a superscript number 2 with labeled 'Exponent.
The components of an exponential expression. The 'Base' is the number being raised to a power, indicated by the variable x.

Table of Contents

Base in Equations

The term “base” typically refers to the number raised to a certain power in an exponential expression.

The base is the value multiplied by itself a certain number of times. In the general form a^n, where a is the base and n  is the exponent, a is the number that is repeated.

Base Examples

In the expression 2^3, the base is 2, and the exponent is 3. So, is raised to the power of 3, which equals 2 x 2 x 2= 8

In 10^2, the base is 10, and the exponent is 2. This means 10 is multiplied by itself (), resulting in 100.

In x^4, x is the base, and the exponent is 4. This represents x multiplied by itself four times x \times x \times x\times x.

Related Links

Coefficient

Constant

Exponent

Polynomial