Solve 2*10^-3*2.5*10^-3*1.01*10^5/8.31*6000

$$\frac{ 2 \times { 10 }^{ -3 } \times 2.5 \times { 10 }^{ -3 } \times 1.01 \times { 10 }^{ 5 } }{ 8.31 \times 6000 }$$

Evaluate

$$\frac{101}{9972000}\approx 0.000010128$$

Solution Steps

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

$$\frac{2\times 10^{-6}\times 2.5\times 1.01\times 10^{5}}{8.31\times 6000}$$

To multiply powers of the same base, add their exponents. Add -6 and 5 to get -1.

$$\frac{2\times 10^{-1}\times 2.5\times 1.01}{8.31\times 6000}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1.01\times 2.5\times \frac{1}{10}}{8.31\times 3000}$$

Multiply 1.01 and 2.5 to get 2.525.

$$\frac{2.525\times \frac{1}{10}}{8.31\times 3000}$$

Multiply 2.525 and \frac{1}{10} to get \frac{101}{400}.

$$\frac{\frac{101}{400}}{8.31\times 3000}$$

Multiply 8.31 and 3000 to get 24930.

$$\frac{\frac{101}{400}}{24930}$$

Express \frac{\frac{101}{400}}{24930} as a single fraction.

$$\frac{101}{400\times 24930}$$

Multiply 400 and 24930 to get 9972000.

$$\frac{101}{9972000}$$

Factor

$$\frac{101}{277 \cdot 2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {3}} = 1.0128359406337744 \times 10^{-5}$$