vereinfachen (27/64)^{(-2)/3}

Lösung

vereinfachen

(\frac{27}{64})^{\frac{- 2}{3}}

\frac{16}{9}

Dezimale

1.77777 \dots

Schritte zur Lösung

(\frac{27}{64})^{\frac{- 2}{3}}

Wende Exponentenregel an:

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

= \frac{2 7 ^{\frac{- 2}{3}}}{6 4 ^{\frac{- 2}{3}}}

2 7^{\frac{- 2}{3}} = \frac{1}{9}

= \frac{\frac{1}{9}}{6 4 ^{\frac{- 2}{3}}}

6 4^{\frac{- 2}{3}} = \frac{1}{16}

= \frac{\frac{1}{9}}{\frac{1}{16}}

\frac{\frac{1}{9}}{\frac{1}{16}} = \frac{16}{9}

= \frac{16}{9}

s im pl i f y \frac{m - 2}{8 m ^{2} - 4 m} - \frac{m + 2}{8 m ^{2} - 4 m}

2 x^{2} + 5 x - 1 = 0

f a c t or 6 x^{2} - 48 x + 72

f a c t or d (2 d + 1) - 2 (2 d + 1)

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