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

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

Evaluate

$$-2560000000000000$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

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

Multiply -4 and 100 to get -400.

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

Calculate -400 to the power of 2 and get 160000.

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

Multiply 2 and 160000 to get 320000.

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

Calculate 10 to the power of 3 and get 1000.

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

Multiply -2 and 1000 to get -2000.

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

Calculate -2000 to the power of 3 and get -8000000000.

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

Multiply 320000 and -8000000000 to get -2560000000000000.

$$-2560000000000000$$

Factor

$$-2560000000000000$$