vereinfachen (9x^4)^{1/2}

Lösung

vereinfachen

(9 x^{4})^{\frac{1}{2}}

3 x^{2}

Schritte zur Lösung

(9 x^{4})^{\frac{1}{2}}

Wende Exponentenregel an:

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

(9 x^{4})^{\frac{1}{2}} = 9^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

= 9^{\frac{1}{2}} (x^{4})^{\frac{1}{2}}

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

= 3 (x^{4})^{\frac{1}{2}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(x^{4})^{\frac{1}{2}} = x^{4 \cdot \frac{1}{2}}

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

4 \cdot \frac{1}{2} = 2

= 3 x^{2}

s im pl i f y [(- 2)^{3}]^{2}

s im pl i f y (- \frac{1}{3})^{1}

s im pl i f y \frac{\frac{1}{a ^{2}} - \frac{1}{a}}{\frac{1}{a ^{2}} + \frac{1}{a}}

e x p an d (x y - 1) (x y + 1)

e x p an d (x + 1) (x^{2} + 2 x - 4)