Resolver 9^-3:81^2/24^-2:27^2

$$\frac { 9 ^ { - 3 } : 81 ^ { 2 } } { 24 ^ { - 2 } : 27 ^ { 2 } }$$

Calcular

$$\frac{64}{729}\approx 0.087791495$$

Pasos da solución

Divide \frac{9^{-3}}{81^{2}} entre \frac{24^{-2}}{27^{2}} mediante a multiplicación de \frac{9^{-3}}{81^{2}} polo recíproco de \frac{24^{-2}}{27^{2}}.

$$\frac{9^{-3}\times 27^{2}}{81^{2}\times 24^{-2}}$$

Calcula 9 á potencia de -3 e obtén \frac{1}{729}.

$$\frac{\frac{1}{729}\times 27^{2}}{81^{2}\times 24^{-2}}$$

Calcula 27 á potencia de 2 e obtén 729.

$$\frac{\frac{1}{729}\times 729}{81^{2}\times 24^{-2}}$$

Multiplica \frac{1}{729} e 729 para obter 1.

$$\frac{1}{81^{2}\times 24^{-2}}$$

Calcula 81 á potencia de 2 e obtén 6561.

$$\frac{1}{6561\times 24^{-2}}$$

Calcula 24 á potencia de -2 e obtén \frac{1}{576}.

$$\frac{1}{6561\times \frac{1}{576}}$$

Multiplica 6561 e \frac{1}{576} para obter \frac{729}{64}.

$$\frac{1}{\frac{729}{64}}$$

Divide 1 entre \frac{729}{64} mediante a multiplicación de 1 polo recíproco de \frac{729}{64}.

$$1\times \frac{64}{729}$$

Multiplica 1 e \frac{64}{729} para obter \frac{64}{729}.

$$\frac{64}{729}$$

Factorizar

$$\frac{2 ^ {6}}{3 ^ {6}} = 0.0877914951989026$$