Solve 0.075*2*10^-3*0.032/300*8.31

$$\frac { 0.075 \times 2 \times 10 ^ { - 3 } \times 0.032 } { 300 \times 8.31 }$$

Evaluate

$$\frac{1}{519375000}\approx 1.925391095 \cdot 10^{-9}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{0.032\times 0.075\times 10^{-3}}{8.31\times 150}$$

Multiply 0.032 and 0.075 to get 0.0024.

$$\frac{0.0024\times 10^{-3}}{8.31\times 150}$$

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

$$\frac{0.0024\times \frac{1}{1000}}{8.31\times 150}$$

Multiply 0.0024 and \frac{1}{1000} to get \frac{3}{1250000}.

$$\frac{\frac{3}{1250000}}{8.31\times 150}$$

Multiply 8.31 and 150 to get 1246.5.

$$\frac{\frac{3}{1250000}}{1246.5}$$

Express \frac{\frac{3}{1250000}}{1246.5} as a single fraction.

$$\frac{3}{1250000\times 1246.5}$$

Multiply 1250000 and 1246.5 to get 1558125000.

$$\frac{3}{1558125000}$$

Reduce the fraction \frac{3}{1558125000} to lowest terms by extracting and canceling out 3.

$$\frac{1}{519375000}$$

Factor

$$\frac{1}{3 \cdot 277 \cdot 2 ^ {3} \cdot 5 ^ {7}} = 1.9253910950661852 \times 10^{-9}$$