vereinfachen (3/5)^4(8/5)^{-12}(32/5)^6

Lösung

vereinfachen

(\frac{3}{5})^{4} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

\frac{2025}{64}

Dezimale

31.640625

Schritte zur Lösung

(\frac{3}{5})^{4} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

(\frac{3}{5})^{4} = \frac{81}{625}

= \frac{81}{625} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

(\frac{8}{5})^{- 12} = \frac{244140625}{8 ^{12}}

= \frac{81}{625} \cdot \frac{244140625}{8 ^{12}} (\frac{32}{5})^{6}

(\frac{32}{5})^{6} = \frac{3 2 ^{6}}{15625}

= \frac{81}{625} \cdot \frac{244140625}{8 ^{12}} \cdot \frac{3 2 ^{6}}{15625}

\frac{81}{625} \cdot \frac{244140625}{8 ^{12}} \cdot \frac{3 2 ^{6}}{15625} = \frac{2025}{64}

= \frac{2025}{64}

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