Resolver 2left(-410^2right)^2left(-210^3right)^3

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

Avaliar

$$-2560000000000000$$

Passos Para a Resolução

Calcule 10 elevado a 2 e obtenha 100.

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

Multiplique -4 e 100 para obter -400.

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

Calcule -400 elevado a 2 e obtenha 160000.

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

Multiplique 2 e 160000 para obter 320000.

$$320000\left(-2\times 10^{3}\right)^{3}$$

Calcule 10 elevado a 3 e obtenha 1000.

$$320000\left(-2\times 1000\right)^{3}$$

Multiplique -2 e 1000 para obter -2000.

$$320000\left(-2000\right)^{3}$$

Calcule -2000 elevado a 3 e obtenha -8000000000.

$$320000\left(-8000000000\right)$$

Multiplique 320000 e -8000000000 para obter -2560000000000000.

$$-2560000000000000$$

Fatorizar

$$-2560000000000000$$