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

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

Evaluate

$$-128000000000000000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(-4\times 1000\right)^{2}\left(-2\times 10^{3}\right)^{3}$$

Multiply -4 and 1000 to get -4000.

$$\left(-4000\right)^{2}\left(-2\times 10^{3}\right)^{3}$$

Calculate -4000 to the power of 2 and get 16000000.

$$16000000\left(-2\times 10^{3}\right)^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$16000000\left(-2\times 1000\right)^{3}$$

Multiply -2 and 1000 to get -2000.

$$16000000\left(-2000\right)^{3}$$

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

$$16000000\left(-8000000000\right)$$

Multiply 16000000 and -8000000000 to get -128000000000000000.

$$-128000000000000000$$

Factor

$$-128000000000000000$$