Solve 0.005*(100*10^-4)/200*0.01*(4*10^3)

$$\frac { 0.005 * ( 100 * 10 ^ { - 4 } ) } { 200 * 0.01 * ( 4 * 10 ^ { 3 } ) }$$

Evaluate

$$0.00000000625$$

Solution Steps

Cancel out 100 in both numerator and denominator.

$$\frac{0.005\times 10^{-4}}{0.01\times 2\times 4\times 10^{3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.005}{0.01\times 2\times 4\times 10^{7}}$$

Multiply 0.01 and 2 to get 0.02.

$$\frac{0.005}{0.02\times 4\times 10^{7}}$$

Multiply 0.02 and 4 to get 0.08.

$$\frac{0.005}{0.08\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{0.005}{0.08\times 10000000}$$

Multiply 0.08 and 10000000 to get 800000.

$$\frac{0.005}{800000}$$

Expand \frac{0.005}{800000} by multiplying both numerator and the denominator by 1000.

$$\frac{5}{800000000}$$

Reduce the fraction \frac{5}{800000000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{160000000}$$

Factor

$$\frac{1}{2 ^ {11} \cdot 5 ^ {7}} = 6.249999999999999 \times 10^{-9}$$