Elementarmathematik Beispiele

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln ({(3 x + 1)}^{\frac{4}{3}} {(x^{3} - 1)}^{- \frac{1}{7}})}$

Schritt 1

Schreibe den Ausdruck um mithilfe der Regel des negativen Exponenten $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln ({(3 x + 1)}^{\frac{4}{3}} \frac{1}{{(x^{3} - 1)}^{\frac{1}{7}}})}$

Schritt 2

Kombiniere ${(3 x + 1)}^{\frac{4}{3}}$ und $\frac{1}{{(x^{3} - 1)}^{\frac{1}{7}}}$ .

$\frac{\ln ({(x - 5)}^{\frac{1}{3}} {(x^{2} + 1)}^{\frac{3}{7}})}{\ln (\frac{{(3 x + 1)}^{\frac{4}{3}}}{{(x^{3} - 1)}^{\frac{1}{7}}})}$