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Beliebt Algebra >

vereinfachen (5x^2y^{10})^{1/5}

Lösung

vereinfachen

(5 x^{2} y^{10})^{\frac{1}{5}}

Lösung

5^{\frac{1}{5}} x^{\frac{2}{5}} y^{2}

Schritte zur Lösung

(5 x^{2} y^{10})^{\frac{1}{5}}

Wende Exponentenregel an:

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

(5 x^{2} y^{10})^{\frac{1}{5}} = 5^{\frac{1}{5}} (x^{2})^{\frac{1}{5}} (y^{10})^{\frac{1}{5}}

= 5^{\frac{1}{5}} (x^{2})^{\frac{1}{5}} (y^{10})^{\frac{1}{5}}

Vereinfache

(x^{2})^{\frac{1}{5}} : x^{\frac{2}{5}}

= 5^{\frac{1}{5}} x^{\frac{2}{5}} (y^{10})^{\frac{1}{5}}

Vereinfache

(y^{10})^{\frac{1}{5}} : y^{2}

= 5^{\frac{1}{5}} x^{\frac{2}{5}} y^{2}

Beliebte Beispiele

∣ 1 - 4 x ∣ \geq - 11

- 4 x - 5 = - 29

faktorisieren-3k^3+15k^2-6k

f a c t or - 3 k^{3} + 15 k^{2} - 6 k

3 x^{2} + 3 x = 60

0 < x^{2} - 5 x + 4