Question

Quais as 7 regras que facilitam nossas operações em potências?

Answer 1

$a^b \cdot a^c = a^{b+c} \; (a\in\mathbb{R}^*_+,\, b\in\mathbb{R} \textrm{ e } c \in\mathbb{R}) \\ \dfrac{a^b}{a^c} = a^{b-c} \; (a\in\mathbb{R}^*_+,\, b\in\mathbb{R} \textrm{ e } c \in\mathbb{R}) \\ (a \cdot b)^c = a^c \cdot b^c \; (a\in\mathbb{R}^*_+,\, b\in\mathbb{R}^*_+ \textrm{ e } c \in\mathbb{R}) \\ \left(\dfrac{a}{b}\right)^c = \dfrac{a^c}{b^c} \; (a\in\mathbb{R}^*_+,\, b\in\mathbb{R}^*_+ \textrm{ e } c \in\mathbb{R}) \\ (a^b)^c = a^{b\cdot c} \; (a\in\mathbb{R}^*_+,\, b\in\mathbb{R}) \textr$