vereinfachen sqrt(x)*\sqrt[5]{x}

Lösung

vereinfachen

x \cdot 5 x

10 x^{7}

Schritte zur Lösung

x 5 x

x = x^{\frac{1}{2}}

5 x = x^{\frac{1}{5}}

= x^{\frac{1}{2}} x^{\frac{1}{5}}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{2}} x^{\frac{1}{5}} = x^{\frac{1}{2} + \frac{1}{5}}

= x^{\frac{1}{2} + \frac{1}{5}}

\frac{1}{2} + \frac{1}{5} = \frac{7}{10}

= x^{\frac{7}{10}}

x^{\frac{7}{10}} = 10 x^{7}

= 10 x^{7}

l o n g m u lt 5 \cdot 0.25

(10 x + 8)^{2} = 25

3 x - 2 > 5 x + 2

2 x + 9 = 13 - x

x^{3} + 8 x \geq 6 x^{2}