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8.3: Negative Exponents

Difficulty Level: Basic Created by: CK-12
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Vocabulary

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.

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Difficulty Level:

Basic

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Grades:

8 , 9

Date Created:

Feb 24, 2012

Last Modified:

Oct 19, 2015
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