Resolver (-2*10^{12})div(-2*10^3)^3div(0.5*10^2)^2

$$( - 2 \times 10 ^ { 12 } ) \div ( - 2 \times 10 ^ { 3 } ) ^ { 3 } \div ( 0.5 \times 10 ^ { 2 } ) ^ { 2 }$$

Calcular

$$0.1$$

Pasos da solución

Calcula 10 á potencia de 12 e obtén 1000000000000.

$$\frac{\frac{-2\times 1000000000000}{\left(-2\times 10^{3}\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Multiplica -2 e 1000000000000 para obter -2000000000000.

$$\frac{\frac{-2000000000000}{\left(-2\times 10^{3}\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Calcula 10 á potencia de 3 e obtén 1000.

$$\frac{\frac{-2000000000000}{\left(-2\times 1000\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Multiplica -2 e 1000 para obter -2000.

$$\frac{\frac{-2000000000000}{\left(-2000\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Calcula -2000 á potencia de 3 e obtén -8000000000.

$$\frac{\frac{-2000000000000}{-8000000000}}{\left(0.5\times 10^{2}\right)^{2}}$$

Divide -2000000000000 entre -8000000000 para obter 250.

$$\frac{250}{\left(0.5\times 10^{2}\right)^{2}}$$

Calcula 10 á potencia de 2 e obtén 100.

$$\frac{250}{\left(0.5\times 100\right)^{2}}$$

Multiplica 0.5 e 100 para obter 50.

$$\frac{250}{50^{2}}$$

Calcula 50 á potencia de 2 e obtén 2500.

$$\frac{250}{2500}$$

Reduce a fracción \frac{250}{2500} a termos máis baixos extraendo e cancelando 250.

$$\frac{1}{10}$$

Factorizar

$$\frac{1}{2 \cdot 5} = 0.1$$