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Beliebt Algebra >

vereinfachen (5x^4y^3)^{2/9}

Lösung

vereinfachen

(5 x^{4} y^{3})^{\frac{2}{9}}

Lösung

5^{\frac{2}{9}} x^{\frac{8}{9}} y^{\frac{2}{3}}

Schritte zur Lösung

(5 x^{4} y^{3})^{\frac{2}{9}}

Wende Exponentenregel an:

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

(5 x^{4} y^{3})^{\frac{2}{9}} = 5^{\frac{2}{9}} (x^{4})^{\frac{2}{9}} (y^{3})^{\frac{2}{9}}

= 5^{\frac{2}{9}} (x^{4})^{\frac{2}{9}} (y^{3})^{\frac{2}{9}}

Vereinfache

(x^{4})^{\frac{2}{9}} : x^{\frac{8}{9}}

= 5^{\frac{2}{9}} x^{\frac{8}{9}} (y^{3})^{\frac{2}{9}}

Vereinfache

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

= 5^{\frac{2}{9}} x^{\frac{8}{9}} y^{\frac{2}{3}}

Beliebte Beispiele

faktorisieren 40+3x-x^2

f a c t or 40 + 3 x - x^{2}

3 x^{2} + 16 x = - 5

faktorisieren 4n^2+36n-40

f a c t or 4 n^{2} + 36 n - 40

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