vereinfachen (64a^2)^{1/6}

Lösung

vereinfachen

(64 a^{2})^{\frac{1}{6}}

2 a^{\frac{1}{3}}

Schritte zur Lösung

(64 a^{2})^{\frac{1}{6}}

Wende Exponentenregel an:

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

(64 a^{2})^{\frac{1}{6}} = 6 4^{\frac{1}{6}} (a^{2})^{\frac{1}{6}}

= 6 4^{\frac{1}{6}} (a^{2})^{\frac{1}{6}}

6 4^{\frac{1}{6}} = 2

= 2 (a^{2})^{\frac{1}{6}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(a^{2})^{\frac{1}{6}} = a^{2 \cdot \frac{1}{6}}

= 2 a^{2 \cdot \frac{1}{6}}

2 \cdot \frac{1}{6} = \frac{1}{3}

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

s im pl i f y (a - b)^{2} + (- a + b)^{2}

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