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Potenslagar

$Potenslagarna$
Multiplikation av potenser		$a^{b} \cdot a^{c} = a^{b + c}$
Division av potenser		$\frac{a ^{b}}{a ^{c}} = a^{b - c}$
Potens av en potens		$(a^{b})^{c} = a^{b c}$
Potens av ett bråk		$(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}$
Potens av en produkt		$(a \cdot b)^{c} = a^{c} \cdot b^{c}$
Potens med negativ exponent		$a^{- b} = \frac{1}{a ^{b}}$

$Specialfall$
Basen 0		$0^{a} = 0$
Basen 1		$1^{a} = 1$
Exponenten 0		$a^{0} = 1$
Exponenten 1		$a^{1} = a$

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