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Base (Exponent)

Base (Exponent)

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

The base of an exponent is the number that is being multiplied by itself when raised to a power. In an expression of the form a^b, where a is the base and b is the exponent (or power), the base a is the number that is multiplied by itself b times.


For example, in the expression 3^4:

  • 3 is the base,

  • 4 is the exponent,

  • The expression means 3 3 = 81.


So, the base determines the number that is repeated in multiplication according to the value of the exponent.

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