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Exponent

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

An exponent is a mathematical notation that represents how many times a number, called the base, is multiplied by itself. It is written as a superscript number, placed to the right of the base.


In an expression of the form a^b, where:

  • a is the base,

  • b is the exponent (or power),


The exponent b indicates how many times the base a is used as a factor in multiplication.


For example:

  • In 2^5, the exponent is 5, which means 2 is multiplied by itself 5 times:  

  2^5 = 2 2 2 2 2 = 32.

  • In 3^2, the exponent is 2, which means 3 is multiplied by itself 2 times:  

  3^2 = 3 3 = 9.


The exponent tells you the number of times the base is used in the multiplication. When the exponent is 1, the base is used just once; when the exponent is 0, any non-zero base raised to the power of 0 equals 1.

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