8.3: Negative Exponents

Difficulty Level: Basic Created by: CK-12
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TermDefinition
exponents of zero For all real numbers $\chi, \chi \neq 0, \chi^0=1$.
Negative Power Rule for Exponents $\frac{1}{\chi^n} = \chi^{-n}$ where $\chi \neq 0$.
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 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 The zero exponent property says that for all $a \neq 0$, $a^0 = 1$.

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