vereinfachen (12x^3y^{-2})^{2/3}

Lösung

vereinfachen

(12 x^{3} y^{- 2})^{\frac{2}{3}}

\frac{1 2 ^{\frac{2}{3}} x ^{2}}{y ^{\frac{4}{3}}}

Schritte zur Lösung

(12 x^{3} y^{- 2})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(12 x^{3} y^{- 2})^{\frac{2}{3}} = 1 2^{\frac{2}{3}} (x^{3})^{\frac{2}{3}} (y^{- 2})^{\frac{2}{3}}

= 1 2^{\frac{2}{3}} (x^{3})^{\frac{2}{3}} (y^{- 2})^{\frac{2}{3}}

Vereinfache

(x^{3})^{\frac{2}{3}} : x^{2}

= 1 2^{\frac{2}{3}} x^{2} (y^{- 2})^{\frac{2}{3}}

Vereinfache

(y^{- 2})^{\frac{2}{3}} : \frac{1}{y ^{\frac{4}{3}}}

= 1 2^{\frac{2}{3}} x^{2} \frac{1}{y ^{\frac{4}{3}}}

Vereinfache

1 2^{\frac{2}{3}} x^{2} \frac{1}{y ^{\frac{4}{3}}} : \frac{1 2 ^{\frac{2}{3}} x ^{2}}{y ^{\frac{4}{3}}}

= \frac{1 2 ^{\frac{2}{3}} x ^{2}}{y ^{\frac{4}{3}}}

s im pl i f y x^{2} \cdot x^{\frac{1}{2}}

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