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Beliebt Word Problems >

27^{4/3} :Enter an genau number.

Lösung

vereinfachen

2 7^{\frac{4}{3}}

Lösung

81

Schritte zur Lösung

2 7^{\frac{4}{3}}

Faktorisiere die Zahl:

27 = 3^{3}

= (3^{3})^{\frac{4}{3}}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{3 \cdot \frac{4}{3}}

3 \cdot \frac{4}{3} = 4

= 3^{4}

3^{4} = 81

= 81

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