vereinfachen ((3/2)^{-2/3})/((2/81)^{2/3)}

Lösung

vereinfachen

\frac{( \frac{3}{2} ) ^{- \frac{2}{3}}}{( \frac{2}{81} ) ^{\frac{2}{3}}}

\frac{9 \cdot 3 ^{\frac{2}{3}} ( \frac{4}{9} ) ^{\frac{1}{3}}}{2 ^{\frac{2}{3}}}

Dezimale

9

Schritte zur Lösung

\frac{( \frac{3}{2} ) ^{- \frac{2}{3}}}{( \frac{2}{81} ) ^{\frac{2}{3}}}

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

= \frac{( \frac{4}{9} ) ^{\frac{1}{3}}}{( \frac{2}{81} ) ^{\frac{2}{3}}}

(\frac{2}{81})^{\frac{2}{3}} = \frac{2 ^{\frac{2}{3}}}{9 \cdot 3 ^{\frac{2}{3}}}

= \frac{( \frac{4}{9} ) ^{\frac{1}{3}}}{\frac{2 ^{\frac{2}{3}}}{9 \cdot 3 ^{\frac{2}{3}}}}

Wende Bruchregel an:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( \frac{4}{9} ) ^{\frac{1}{3}} \cdot 9 \cdot 3 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}}

= \frac{9 \cdot 3 ^{\frac{2}{3}} ( \frac{4}{9} ) ^{\frac{1}{3}}}{2 ^{\frac{2}{3}}}

8 - \frac{4}{5} (x + 3) = 2 x

s im pl i f y (4^{2})^{- 8}

\frac{5}{6} a + \frac{2}{5} = 1

ln (5) = y

6 [7 x - 1 + 3 (x + 1)] = 2 x + 4