Exponent

An educational diagram showcasing various exponent rules within cloud-shaped bubbles, such as exponent of one, zero exponent, negative exponent, product of powers, power of a power, quotient of powers, power of product, and rational exponent.
Diagram explaining key exponent rules used in algebra to manipulate expressions with powers, a fundamental concept in mathematics.

Table of Contents

Exponents in Algebra

In algebra, an exponent is a mathematical notation representing the number of times a base is multiplied by itself. A small raised number denotes the exponent to the right of the base. It indicates the power to which the base is raised.

If a is the base and n is the exponent, the expression is written as a^n, where a is multiplied by itself n times.

Examples of Exponents

  1. 2^3 means 2 raised to the power of 3, which is 2\times2\times2=8.
  2. 5^2 means 5 raised to the power of 2, which is 5\times5=25.
  3. 3^4 means 3 raised to the power of 4, which is 3\times3\times3\times3=81.
  4. 10^0 means 10 raised to the power of 0, which is always 1 (any nonzero number raised to the power of 0 is 1).
  5. x^2 means x raised to the power of 2, which is x^x.

Related Links

Binomial

Conjugate Pair

Monomial

Term