Resolver 331/3*(-0.1)^2div(-2.4)^2div[41/6*(-0.2)^0]

$$33 \frac { 1 } { 3 } \times ( - 0.1 ) ^ { 2 } \div ( - 2.4 ) ^ { 2 } \div [ 4 \frac { 1 } { 6 } \times ( - 0.2 ) ^ { 0 } ]$$

Calcular

$$\frac{1}{72}\approx 0.013888889$$

Pasos da solución

Multiplica 33 e 3 para obter 99.

$$\frac{\frac{\frac{99+1}{3}\left(-0.1\right)^{2}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Suma 99 e 1 para obter 100.

$$\frac{\frac{\frac{100}{3}\left(-0.1\right)^{2}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Calcula -0.1 á potencia de 2 e obtén 0.01.

$$\frac{\frac{\frac{100}{3}\times 0.01}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Multiplica \frac{100}{3} e 0.01 para obter \frac{1}{3}.

$$\frac{\frac{\frac{1}{3}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Calcula -2.4 á potencia de 2 e obtén 5.76.

$$\frac{\frac{\frac{1}{3}}{5.76}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Expresa \frac{\frac{1}{3}}{5.76} como unha única fracción.

$$\frac{\frac{1}{3\times 5.76}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Multiplica 3 e 5.76 para obter 17.28.

$$\frac{\frac{1}{17.28}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Expande \frac{1}{17.28} multiplicando o numerador e o denominador por 100.

$$\frac{\frac{100}{1728}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Reduce a fracción \frac{100}{1728} a termos máis baixos extraendo e cancelando 4.

$$\frac{\frac{25}{432}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Multiplica 4 e 6 para obter 24.

$$\frac{\frac{25}{432}}{\frac{24+1}{6}\left(-0.2\right)^{0}}$$

Suma 24 e 1 para obter 25.

$$\frac{\frac{25}{432}}{\frac{25}{6}\left(-0.2\right)^{0}}$$

Calcula -0.2 á potencia de 0 e obtén 1.

$$\frac{\frac{25}{432}}{\frac{25}{6}\times 1}$$

Multiplica \frac{25}{6} e 1 para obter \frac{25}{6}.

$$\frac{\frac{25}{432}}{\frac{25}{6}}$$

Divide \frac{25}{432} entre \frac{25}{6} mediante a multiplicación de \frac{25}{432} polo recíproco de \frac{25}{6}.

$$\frac{25}{432}\times \frac{6}{25}$$

Multiplica \frac{25}{432} e \frac{6}{25} para obter \frac{1}{72}.

$$\frac{1}{72}$$

Factorizar

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0.013888888888888888$$