Reelle Basis/Rationale Potenz/Definition

Rationale Exponentschreibweise

Zu ${}b\in \mathbb {R} _{+}$ und ${}q\in \mathbb {Q}$ mit ${}q={\frac {r}{s}}$ ( $s>0$ ) setzt man

{}b^{q}=b^{\frac {r}{s}}:={\sqrt[{s}]{b^{r}}}\,.

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