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Beliebt Algebra >

vereinfachen (32x^{10}y^{15})^{1/5}

Lösung

vereinfachen

(32 x^{10} y^{15})^{\frac{1}{5}}

Lösung

2 x^{2} y^{3}

Schritte zur Lösung

(32 x^{10} y^{15})^{\frac{1}{5}}

Wende Exponentenregel an:

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

(32 x^{10} y^{15})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

= 3 2^{\frac{1}{5}} (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= 2 (x^{10})^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

Vereinfache

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

= 2 x^{2} (y^{15})^{\frac{1}{5}}

Vereinfache

(y^{15})^{\frac{1}{5}} : y^{3}

= 2 x^{2} y^{3}

Beliebte Beispiele

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