vereinfachen (-27/8)^{2/3}

Lösung

vereinfachen

(- \frac{27}{8})^{\frac{2}{3}}

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

(- \frac{27}{8})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(- \frac{27}{8})^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} (\frac{27}{8})^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} (\frac{27}{8})^{\frac{2}{3}}

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

= 1 \cdot (\frac{27}{8})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(\frac{27}{8})^{\frac{2}{3}} = \frac{2 7 ^{\frac{2}{3}}}{8 ^{\frac{2}{3}}}

= 1 \cdot \frac{2 7 ^{\frac{2}{3}}}{8 ^{\frac{2}{3}}}

8^{\frac{2}{3}} = 4

= 1 \cdot \frac{2 7 ^{\frac{2}{3}}}{4}

2 7^{\frac{2}{3}} = 9

= 1 \cdot \frac{9}{4}

Multipliziere:

1 \cdot \frac{9}{4} = \frac{9}{4}

= \frac{9}{4}

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

s im pl i f y \frac{2}{3} - \frac{2}{4}

s im pl i f y \frac{3}{2} \cdot 2

0 = 3 x^{2} + 3 x + 7

f a c t or 18 x^{2} + 24 x