(x^2+4)^{3/2}

Lösung

(x^{2} + 4)^{\frac{3}{2}}

(x^{2} + 4) (x^{2} + 4)^{\frac{1}{2}}

Schritte zur Lösung

(x^{2} + 4)^{\frac{3}{2}}

Wende Exponentenregel an:

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

(x^{2} + 4)^{\frac{3}{2}} = (x^{2} + 4)^{1 + \frac{1}{2}} = (x^{2} + 4) (x^{2} + 4)^{\frac{1}{2}}

= (x^{2} + 4) (x^{2} + 4)^{\frac{1}{2}}

(x - 1)^{\frac{7}{2}} - (x - 1)^{\frac{3}{2}}

15 x + 18 \leq x^{2} (2 x + 1)

4 x^{2} + 4 x = 15

2 x^{2} - 9 x = - 5

- 4 - 5 v < - 29