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# Exponential Properties Involving Products

## Add exponents to multiply exponents by other exponents

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Practice Exponential Properties Involving Products

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Recognize and Apply the Power of a Product Property

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### Vocabulary Language: English

Base

When a value is raised to a power, the value is referred to as the base, and the power is called the exponent. In the expression $32^4$, 32 is the base, and 4 is the exponent.

Coefficient

A coefficient is the number in front of a variable.

Expanded Form

Expanded form refers to a base and an exponent written as repeated multiplication.

Exponent

Exponents are used to describe the number of times that a term is multiplied by itself.

Monomial

A monomial is an expression made up of only one term.

Power

The "power" refers to the value of the exponent. For example, $3^4$ is "three to the fourth power".

Product of Powers Property

The product of powers property states that $a^m \cdot a^n = a^{m+n}$.

Variable

A variable is a symbol used to represent an unknown or changing quantity. The most common variables are a, b, x, y, m, and n.