Solve 2*10^-7*1/1.9*10^-2

$$2 \times { 10 }^{ -7 } \times \frac{ 1 }{ 1.9 \times { 10 }^{ -2 } }$$

Evaluate

$$\frac{1}{95000}\approx 0.000010526$$

Solution Steps

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$2\times \frac{1}{10000000}\times \frac{1}{1.9\times 10^{-2}}$$

Multiply 2 and \frac{1}{10000000} to get \frac{1}{5000000}.

$$\frac{1}{5000000}\times \frac{1}{1.9\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{1}{5000000}\times \frac{1}{1.9\times \frac{1}{100}}$$

Multiply 1.9 and \frac{1}{100} to get \frac{19}{1000}.

$$\frac{1}{5000000}\times \frac{1}{\frac{19}{1000}}$$

Divide 1 by \frac{19}{1000} by multiplying 1 by the reciprocal of \frac{19}{1000}.

$$\frac{1}{5000000}\times 1\times \frac{1000}{19}$$

Multiply 1 and \frac{1000}{19} to get \frac{1000}{19}.

$$\frac{1}{5000000}\times \frac{1000}{19}$$

Multiply \frac{1}{5000000} and \frac{1000}{19} to get \frac{1}{95000}.

$$\frac{1}{95000}$$

Factor

$$\frac{1}{19 \cdot 2 ^ {3} \cdot 5 ^ {4}} = 1.0526315789473684 \times 10^{-5}$$