Solve 998.2*2.0004*10^-8*0.21/1.002*10^-3

$$\frac{ 998.2 \cdot 2.0004 \times { 10 }^{ -8 } \times 0.21 }{ 1.002 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{174719937}{41750000000}\approx 0.004184909$$

Solution Steps

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

$$\frac{0.21\times 2.0004\times 998.2}{1.002\times 10^{5}}$$

Multiply 0.21 and 2.0004 to get 0.420084.

$$\frac{0.420084\times 998.2}{1.002\times 10^{5}}$$

Multiply 0.420084 and 998.2 to get 419.3278488.

$$\frac{419.3278488}{1.002\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{419.3278488}{1.002\times 100000}$$

Multiply 1.002 and 100000 to get 100200.

$$\frac{419.3278488}{100200}$$

Expand \frac{419.3278488}{100200} by multiplying both numerator and the denominator by 10000000.

$$\frac{4193278488}{1002000000000}$$

Reduce the fraction \frac{4193278488}{1002000000000} to lowest terms by extracting and canceling out 24.

$$\frac{174719937}{41750000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 31 \cdot 1667 \cdot 7 ^ {2}}{167 \cdot 2 ^ {7} \cdot 5 ^ {9}} = 0.0041849086706586824$$