vereinfachen ((32x^5)/(243y^{20)})^{-3/5}

Lösung

vereinfachen

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}}

\frac{27 y ^{12}}{8 x ^{3}}

Schritte zur Lösung

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}}

Wende Exponentenregel an:

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

(\frac{32 x ^{5}}{243 y ^{20}})^{- \frac{3}{5}} = \frac{1}{( \frac{32 x ^{5}}{243 y ^{20}} ) ^{\frac{3}{5}}}

= \frac{1}{( \frac{32 x ^{5}}{243 y ^{20}} ) ^{\frac{3}{5}}}

Vereinfache

(\frac{32 x ^{5}}{243 y ^{20}})^{\frac{3}{5}} : \frac{8 x ^{3}}{27 y ^{12}}

= \frac{1}{\frac{8 x ^{3}}{27 y ^{12}}}

Wende Bruchregel an:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{27 y ^{12}}{8 x ^{3}}

f a c t or x^{2} - 2 x - 80

s im pl i f y \frac{6}{6 + i}

36 3.5 - 1 = \frac{r}{12}

l o n g d i v i s i o n \frac{4.592}{4}

f a c t or 6 n^{2} + 5 n + 1