vereinfachen (8a^3b^{3/2})^{2/3}

Lösung

vereinfachen

(8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}}

4 a^{2} b

Schritte zur Lösung

(8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}} = 8^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

= 8^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

8^{\frac{2}{3}} = 4

= 4 (a^{3})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

Vereinfache

(a^{3})^{\frac{2}{3}} : a^{2}

= 4 a^{2} (b^{\frac{3}{2}})^{\frac{2}{3}}

Vereinfache

(b^{\frac{3}{2}})^{\frac{2}{3}} : b

= 4 a^{2} b

s im pl i f y x - \frac{y}{\frac{x}{y} + \frac{y}{x}}

8 - \frac{x}{2} \leq 10

6 - 5 ∣ 4 x + 3 ∣ = - 19

2 (3 x - 7) \geq - x

s im pl i f y - \frac{3}{8} + \frac{5}{6} - \frac{1}{4}