Solve 0.075*10^6*2*10^-30.032/300*8.31

$$\frac{ 0.075 \times { 10 }^{ 6 } \cdot 2 \times { 10 }^{ -3 } 0.032 }{ 300 \cdot 8.31 }$$

Evaluate

$$\frac{8}{4155}\approx 0.001925391$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and -3 to get 3.

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

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 1000.

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

Multiply 0.0024 and 1000 to get 2.4.

$$\frac{2.4}{8.31\times 150}$$

Multiply 8.31 and 150 to get 1246.5.

$$\frac{2.4}{1246.5}$$

Expand \frac{2.4}{1246.5} by multiplying both numerator and the denominator by 10.

$$\frac{24}{12465}$$

Reduce the fraction \frac{24}{12465} to lowest terms by extracting and canceling out 3.

$$\frac{8}{4155}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5 \cdot 277} = 0.0019253910950661852$$