vereinfachen (a^{1/2}*b^{1/3})^{1/2}

Lösung

vereinfachen

(a^{\frac{1}{2}} \cdot b^{\frac{1}{3}})^{\frac{1}{2}}

a^{\frac{1}{4}} b^{\frac{1}{6}}

Schritte zur Lösung

(a^{\frac{1}{2}} b^{\frac{1}{3}})^{\frac{1}{2}}

Wende Exponentenregel an:

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

(a^{\frac{1}{2}} b^{\frac{1}{3}})^{\frac{1}{2}} = (a^{\frac{1}{2}})^{\frac{1}{2}} (b^{\frac{1}{3}})^{\frac{1}{2}}

= (a^{\frac{1}{2}})^{\frac{1}{2}} (b^{\frac{1}{3}})^{\frac{1}{2}}

Vereinfache

(a^{\frac{1}{2}})^{\frac{1}{2}} : a^{\frac{1}{4}}

= a^{\frac{1}{4}} (b^{\frac{1}{3}})^{\frac{1}{2}}

Vereinfache

(b^{\frac{1}{3}})^{\frac{1}{2}} : b^{\frac{1}{6}}

= a^{\frac{1}{4}} b^{\frac{1}{6}}

2 x - 7 = - 3 x + 18

f a c t or x^{3} - 8 y^{3}

f a c t or 2 x + 4

x^{2} - 2 x + 1 = - x^{2} + 4 x - 3

s im pl i f y (\frac{6}{3})^{3}