Resolver (3/2)^-2:(2/3)^-3=

$$( \frac { 3 } { 2 } ) ^ { - 2 } : ( \frac { 2 } { 3 } ) ^ { - 3 } =$$

Calcular

$$\frac{32}{243}\approx 0.131687243$$

Pasos da solución

Calcula \frac{3}{2} á potencia de -2 e obtén \frac{4}{9}.

$$\frac{\frac{4}{9}}{\left(\frac{2}{3}\right)^{-3}}$$

Calcula \frac{2}{3} á potencia de -3 e obtén \frac{27}{8}.

$$\frac{\frac{4}{9}}{\frac{27}{8}}$$

Divide \frac{4}{9} entre \frac{27}{8} mediante a multiplicación de \frac{4}{9} polo recíproco de \frac{27}{8}.

$$\frac{4}{9}\times \frac{8}{27}$$

Multiplica \frac{4}{9} e \frac{8}{27} para obter \frac{32}{243}.

$$\frac{32}{243}$$

Factorizar

$$\frac{2 ^ {5}}{3 ^ {5}} = 0.13168724279835392$$