Solve (-2*10^{12})div(-2*10^3)^3div(0.5*10^2)^2

$$( - 2 \times 10 ^ { 12 } ) \div ( - 2 \times 10 ^ { 3 } ) ^ { 3 } \div ( 0.5 \times 10 ^ { 2 } ) ^ { 2 }$$

Evaluate

$$0.1$$

Solution Steps

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{\frac{-2\times 1000000000000}{\left(-2\times 10^{3}\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Multiply -2 and 1000000000000 to get -2000000000000.

$$\frac{\frac{-2000000000000}{\left(-2\times 10^{3}\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{\frac{-2000000000000}{\left(-2\times 1000\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

Multiply -2 and 1000 to get -2000.

$$\frac{\frac{-2000000000000}{\left(-2000\right)^{3}}}{\left(0.5\times 10^{2}\right)^{2}}$$

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

$$\frac{\frac{-2000000000000}{-8000000000}}{\left(0.5\times 10^{2}\right)^{2}}$$

Divide -2000000000000 by -8000000000 to get 250.

$$\frac{250}{\left(0.5\times 10^{2}\right)^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{250}{\left(0.5\times 100\right)^{2}}$$

Multiply 0.5 and 100 to get 50.

$$\frac{250}{50^{2}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{250}{2500}$$

Reduce the fraction \frac{250}{2500} to lowest terms by extracting and canceling out 250.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$