Resolver (-4*10^2)^2*(-2*10^3)^3

$$( - 4 \times 10 ^ { 2 } ) ^ { 2 } \times ( - 2 \times 10 ^ { 3 } ) ^ { 3 }$$

Calcular

$$-1280000000000000$$

Pasos da solución

Calcula 10 á potencia de 2 e obtén 100.

$$\left(-4\times 100\right)^{2}\left(-2\times 10^{3}\right)^{3}$$

Multiplica -4 e 100 para obter -400.

$$\left(-400\right)^{2}\left(-2\times 10^{3}\right)^{3}$$

Calcula -400 á potencia de 2 e obtén 160000.

$$160000\left(-2\times 10^{3}\right)^{3}$$

Calcula 10 á potencia de 3 e obtén 1000.

$$160000\left(-2\times 1000\right)^{3}$$

Multiplica -2 e 1000 para obter -2000.

$$160000\left(-2000\right)^{3}$$

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

$$160000\left(-8000000000\right)$$

Multiplica 160000 e -8000000000 para obter -1280000000000000.

$$-1280000000000000$$

Factorizar

$$-1280000000000000$$