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

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

Avaliar

$$-1280000000000000$$

Passos Para a Resolução

Calcule 10 elevado a 2 e obtenha 100.

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

Multiplique -4 e 100 para obter -400.

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

Calcule -400 elevado a 2 e obtenha 160000.

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

Calcule 10 elevado a 3 e obtenha 1000.

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

Multiplique -2 e 1000 para obter -2000.

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

Calcule -2000 elevado a 3 e obtenha -8000000000.

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

Multiplique 160000 e -8000000000 para obter -1280000000000000.

$$-1280000000000000$$

Fatorizar

$$-1280000000000000$$