<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: CK-12 Basic Algebra Concepts Go to the latest version.

# 8.3: Negative Exponents

Difficulty Level: Basic Created by: CK-12
%
Progress
Progress
%

### Vocabulary Language: English Spanish

exponents of zero

exponents of zero

For all real numbers $\chi, \chi \neq 0, \chi^0=1$.
Negative Power Rule for Exponents

Negative Power Rule for Exponents

$\frac{1}{\chi^n} = \chi^{-n}$ where $\chi \neq 0$.
Negative Exponent Property

Negative Exponent Property

The negative exponent property states that $\frac{1}{a^m} = a^{-m}$ and $\frac{1}{a^{-m}} = a^m$ for $a \neq 0$.
quotient rule

quotient rule

In calculus, the quotient rule states that if $f$ and $g$ are differentiable functions at $x$ and $g(x) \ne 0$, then $\frac {d}{dx}\left [ \frac{f(x)}{g(x)} \right ]= \frac {g(x) \frac {d}{dx}\left [{f(x)} \right ] - f(x) \frac{d}{dx} \left [{g(x)} \right ]}{\left [{g(x)} \right ]^2}$.
Zero Exponent Property

Zero Exponent Property

The zero exponent property says that for all $a \neq 0$, $a^0 = 1$.

Basic

8 , 9

Feb 24, 2012

Oct 19, 2015