vereinfachen (-32y^{15})^{1/5}

Lösung

vereinfachen

(- 32 y^{15})^{\frac{1}{5}}

- 2 y^{3}

Schritte zur Lösung

(- 32 y^{15})^{\frac{1}{5}}

Wende Exponentenregel an:

(- a)^{\frac{1}{n}} = - (a)^{\frac{1}{n}},

wenn

n

ungerade ist

(- 32 y^{15})^{\frac{1}{5}} = - (32 y^{15})^{\frac{1}{5}}

= - (32 y^{15})^{\frac{1}{5}}

Wende Exponentenregel an:

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

(32 y^{15})^{\frac{1}{5}} = 3 2^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

= - 3 2^{\frac{1}{5}} (y^{15})^{\frac{1}{5}}

3 2^{\frac{1}{5}} = 2

= - 2 (y^{15})^{\frac{1}{5}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(y^{15})^{\frac{1}{5}} = y^{15 \cdot \frac{1}{5}}

= - 2 y^{15 \cdot \frac{1}{5}}

15 \cdot \frac{1}{5} = 3

= - 2 y^{3}

2 x^{2} - 4 x - 6 = 90

f a c t or c^{4} + 9 c^{2} + 20

s im pl i f y 616

10 - 3 x = 16

x - 2 > 0