vereinfachen (2a^3b^4)^{3/2}

Lösung

vereinfachen

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

2 \cdot 2^{\frac{1}{2}} b^{6} a^{\frac{9}{2}}

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

Vereinfache

(a^{3})^{\frac{3}{2}} : a^{\frac{9}{2}}

= 2^{\frac{3}{2}} a^{\frac{9}{2}} (b^{4})^{\frac{3}{2}}

Vereinfache

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

= 2^{\frac{3}{2}} a^{\frac{9}{2}} b^{6}

2^{\frac{3}{2}} = 2 \cdot 2^{\frac{1}{2}}

= 2 \cdot 2^{\frac{1}{2}} b^{6} a^{\frac{9}{2}}

f a c t or w^{2} + w - 12

\frac{4}{5} x - 8 = 12

(2 x - 7)^{2} + 8 = 0

s im pl i f y (\frac{1}{6})^{\frac{1}{6}}

6 b^{2} - 13 b + 3 = - 3