Solve (12*10^-3-6*10^-3)/(5)(12*10^-7)

$$\frac { ( 12 \times 10 ^ { - 3 } - 6 \times 10 ^ { - 3 } ) } { ( 5 ) ( 12 \times 10 ^ { - 7 } ) }$$

Evaluate

$$1000$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{12\times \frac{1}{1000}-6\times 10^{-3}}{5\times 12\times 10^{-7}}$$

Multiply 12 and \frac{1}{1000} to get \frac{3}{250}.

$$\frac{\frac{3}{250}-6\times 10^{-3}}{5\times 12\times 10^{-7}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{3}{250}-6\times \frac{1}{1000}}{5\times 12\times 10^{-7}}$$

Multiply 6 and \frac{1}{1000} to get \frac{3}{500}.

$$\frac{\frac{3}{250}-\frac{3}{500}}{5\times 12\times 10^{-7}}$$

Subtract \frac{3}{500} from \frac{3}{250} to get \frac{3}{500}.

$$\frac{\frac{3}{500}}{5\times 12\times 10^{-7}}$$

Multiply 5 and 12 to get 60.

$$\frac{\frac{3}{500}}{60\times 10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{\frac{3}{500}}{60\times \frac{1}{10000000}}$$

Multiply 60 and \frac{1}{10000000} to get \frac{3}{500000}.

$$\frac{\frac{3}{500}}{\frac{3}{500000}}$$

Divide \frac{3}{500} by \frac{3}{500000} by multiplying \frac{3}{500} by the reciprocal of \frac{3}{500000}.

$$\frac{3}{500}\times \frac{500000}{3}$$

Multiply \frac{3}{500} and \frac{500000}{3} to get 1000.

$$1000$$

Factor

$$2^{3}\times 5^{3}$$