vereinfachen (8a^6b^{3/2})^{2/3}

Lösung

vereinfachen

(8 a^{6} b^{\frac{3}{2}})^{\frac{2}{3}}

4 a^{4} b

Schritte zur Lösung

(8 a^{6} b^{\frac{3}{2}})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(8 a^{6} b^{\frac{3}{2}})^{\frac{2}{3}} = 8^{\frac{2}{3}} (a^{6})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

= 8^{\frac{2}{3}} (a^{6})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

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

= 4 (a^{6})^{\frac{2}{3}} (b^{\frac{3}{2}})^{\frac{2}{3}}

Vereinfache

(a^{6})^{\frac{2}{3}} : a^{4}

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

Vereinfache

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

= 4 a^{4} b

12 5^{b} = 5

2 (4 x + 1) = 2 \cdot 4 x + 2 \cdot 1

f a c t or 25 x^{2} - 20 x y + 4 y^{2}

f a c t or h^{2} + 6 h - 27

(x + 5) (x + 5) = 0