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Beliebt Algebra >

vereinfachen (ab^2c^2)^{3/4}

Lösung

vereinfachen

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

Lösung

a^{\frac{3}{4}} b^{\frac{3}{2}} c^{\frac{3}{2}}

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

Vereinfache

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

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

Vereinfache

(c^{2})^{\frac{3}{4}} : c^{\frac{3}{2}}

= a^{\frac{3}{4}} b^{\frac{3}{2}} c^{\frac{3}{2}}

Beliebte Beispiele

vereinfachen 5/2*3/10

s im pl i f y \frac{5}{2} \cdot \frac{3}{10}

3 x - 5 + x = 7

vereinfachen (42)/((-7))

s im pl i f y \frac{42}{( - 7 )}

faktorisieren 6-9i

f a c t or 6 - 9 i

\frac{2}{5} \geq w - \frac{3}{5}