vereinfachen (-0.008)^{2/3}

Lösung

vereinfachen

(- 0.008)^{\frac{2}{3}}

\frac{1}{25}

Dezimale

0.04

Schritte zur Lösung

(- 0.008)^{\frac{2}{3}}

0.008 = \frac{1}{125}

= (- \frac{1}{125})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(- \frac{1}{125})^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} (\frac{1}{125})^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} (\frac{1}{125})^{\frac{2}{3}}

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

= 1 \cdot (\frac{1}{125})^{\frac{2}{3}}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{125})^{\frac{2}{3}} = \frac{1 ^{\frac{2}{3}}}{12 5 ^{\frac{2}{3}}}

= 1 \cdot \frac{1 ^{\frac{2}{3}}}{12 5 ^{\frac{2}{3}}}

12 5^{\frac{2}{3}} = 25

= 1 \cdot \frac{1 ^{\frac{2}{3}}}{25}

Multipliziere:

1 \cdot \frac{1 ^{\frac{2}{3}}}{25} = \frac{1 ^{\frac{2}{3}}}{25}

= \frac{1 ^{\frac{2}{3}}}{25}

Wende Regel an

1^{a} = 1

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

= \frac{1}{25}

f a c t or 1000 - i 900

s im pl i f y \frac{4 ^{2}}{2 ^{2}}

5 x^{2} + 11 x + 6 = 0

f a c t or x^{2} - c^{6}

\frac{x}{5} = - 8