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# 8.2: Exponential Properties Involving Quotients

Difficulty Level: Basic Created by: CK-12
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### Vocabulary Language: English Spanish

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

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

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

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

Power

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

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Difficulty Level:
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