vereinfachen ((6/7)/(4/5))^3

Lösung

vereinfachen

(\frac{\frac{6}{7}}{\frac{4}{5}})^{3}

\frac{3375}{2744}

Dezimale

1.22995 \dots

Schritte zur Lösung

(\frac{\frac{6}{7}}{\frac{4}{5}})^{3}

Wende Exponentenregel an:

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

= \frac{( \frac{6}{7} ) ^{3}}{( \frac{4}{5} ) ^{3}}

(\frac{6}{7})^{3} = \frac{216}{343}

= \frac{\frac{216}{343}}{( \frac{4}{5} ) ^{3}}

(\frac{4}{5})^{3} = \frac{64}{125}

= \frac{\frac{216}{343}}{\frac{64}{125}}

\frac{\frac{216}{343}}{\frac{64}{125}} = \frac{3375}{2744}

= \frac{3375}{2744}

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

s im pl i f y \frac{x ^{2} - 7 x + 12}{x ^{2} - 6 x + 9}

e x p an d (X + 2)^{2}

f a c t or 3 x (x - 2) - 2 y (x - 2)

s im pl i f y 1 0^{1.2}