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Beliebt Algebra >

vereinfachen (243x^5)^{4/5}

Lösung

vereinfachen

(243 x^{5})^{\frac{4}{5}}

Lösung

81 x^{4}

Schritte zur Lösung

(243 x^{5})^{\frac{4}{5}}

Wende Exponentenregel an:

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

(243 x^{5})^{\frac{4}{5}} = 24 3^{\frac{4}{5}} (x^{5})^{\frac{4}{5}}

= 24 3^{\frac{4}{5}} (x^{5})^{\frac{4}{5}}

24 3^{\frac{4}{5}} = 81

= 81 (x^{5})^{\frac{4}{5}}

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c},

angenommen

a \geq 0

(x^{5})^{\frac{4}{5}} = x^{5 \cdot \frac{4}{5}}

= 81 x^{5 \cdot \frac{4}{5}}

5 \cdot \frac{4}{5} = 4

= 81 x^{4}

Beliebte Beispiele

6a-5(a-2)+9=-11

6 a - 5 (a - 2) + 9 = - 11

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0.5p+5=0.1(p+8)+0.4(p+1)

0.5 p + 5 = 0.1 (p + 8) + 0.4 (p + 1)

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