vereinfachen 32^{1/3}*2^{1/3}

Lösung

vereinfachen

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

4

Schritte zur Lösung

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

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

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

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

2^{\frac{2}{3}} \cdot 2^{\frac{1}{3}} = 2^{\frac{2}{3} + \frac{1}{3}}

= 2 \cdot 2^{\frac{2}{3} + \frac{1}{3}}

\frac{2}{3} + \frac{1}{3} = 1

= 2 \cdot 2^{1}

Wende Exponentenregel an:

a^{1} = a

2^{1} = 2

= 2 \cdot 2

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1}

Addiere die Zahlen:

1 + 1 = 2

= 2^{2}

2^{2} = 4

= 4

- 2 (x - 1) - x + 3 = - 1

3 x \leq 9

f a c t or 4 y^{2} - 12 y + 9

f a c t or - 4 u - 6 u^{2} - 8 v - 6 v^{2} - 2

m^{2} - 10 m = - 16