vereinfachen (4x^3y^2)^{3/10}

Lösung

vereinfachen

(4 x^{3} y^{2})^{\frac{3}{10}}

2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

Schritte zur Lösung

(4 x^{3} y^{2})^{\frac{3}{10}}

Wende Exponentenregel an:

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

(4 x^{3} y^{2})^{\frac{3}{10}} = 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

= 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

4^{\frac{3}{10}} = 2^{\frac{3}{5}}

= 2^{\frac{3}{5}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

Vereinfache

(x^{3})^{\frac{3}{10}} : x^{\frac{9}{10}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} (y^{2})^{\frac{3}{10}}

Vereinfache

(y^{2})^{\frac{3}{10}} : y^{\frac{3}{5}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

s im pl i f y (- 1 - 2 i) (- 1 + 2 i)

s im pl i f y 2 x \times 3 x^{2}

f a c t or y^{2} - 11 y + 24

s im pl i f y \frac{7 x}{5} - \frac{9}{4}

\frac{165}{2}