vereinfachen-1/2 (2)^{-2}

Lösung

vereinfachen

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

- \frac{1}{8}

Dezimale

- 0.125

Schritte zur Lösung

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

Wende Exponentenregel an:

a^{- b} = \frac{1}{a ^{b}}

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

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

2^{2} = 4

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

Faktorisiere die Zahl:

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

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

Wende Exponentenregel an:

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

\frac{1}{2} (\frac{1}{2})^{2} = (\frac{1}{2})^{1 + 2}

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

Addiere die Zahlen:

1 + 2 = 3

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

Wende Exponentenregel an:

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

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

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

1^{3} = 1

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

2^{3} = 8

= - \frac{1}{8}

f a c t or 3 x^{2} + 18 x - 81

w^{2} - 30 w = 20

x^{2} - 21 x - 100 = 0

7 x^{2} = 6 x - 2

3 p + 1 = 5 (p + 1) - 2 (7 + 2 p)