vereinfachen (729x^2)^{5/6}

Lösung

vereinfachen

(729 x^{2})^{\frac{5}{6}}

243 x^{\frac{5}{3}}

Schritte zur Lösung

(729 x^{2})^{\frac{5}{6}}

Wende Exponentenregel an:

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

(729 x^{2})^{\frac{5}{6}} = 72 9^{\frac{5}{6}} (x^{2})^{\frac{5}{6}}

= 72 9^{\frac{5}{6}} (x^{2})^{\frac{5}{6}}

72 9^{\frac{5}{6}} = 243

= 243 (x^{2})^{\frac{5}{6}}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c},

angenommen

a \geq 0

(x^{2})^{\frac{5}{6}} = x^{2 \cdot \frac{5}{6}}

= 243 x^{2 \cdot \frac{5}{6}}

2 \cdot \frac{5}{6} = \frac{5}{3}

= 243 x^{\frac{5}{3}}

s im pl i f y 3 + i

s im pl i f y (2 - 4 i)^{2}

f a c t or x^{a} + x^{a + b}

s im pl i f y \frac{5}{2} - \frac{x}{3}

e x p an d 5 x^{2} (x + 2 y) (x^{2} - 2 x y + 4 y^{2})