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# 8.2: Exponential Properties Involving Quotients

Difficulty Level: Basic Created by: CK-12
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Practice Exponential Properties Involving Quotients
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### Vocabulary Language: English Spanish

Power of a Quotient Property

Power of a Quotient Property

$\left(\frac{\chi^n}{\gamma^m}\right)^p = \frac{\chi^{n \cdot p}}{\gamma^{m \cdot p}}$
Quotient of Powers Property

Quotient of Powers Property

For all real numbers $\chi$, $\frac{\chi^n}{\chi^m} =\chi^{n-m}$.
Base

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.
Exponent

Exponent

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

Power

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

Basic

8 , 9

Feb 24, 2012

Aug 20, 2015