Solve 2*1*10^-4/1+16*10^-62

$$\frac{ 2 \cdot 1 \times { 10 }^{ -4 } }{ 1+16 \times { 10 }^{ -6 } 2 }$$

Evaluate

$$\frac{25}{125004}\approx 0.000199994$$

Solution Steps

Multiply 2 and 1 to get 2.

$$\frac{2\times 10^{-4}}{1+16\times 10^{-6}\times 2}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{2\times \frac{1}{10000}}{1+16\times 10^{-6}\times 2}$$

Multiply 2 and \frac{1}{10000} to get \frac{1}{5000}.

$$\frac{\frac{1}{5000}}{1+16\times 10^{-6}\times 2}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{1}{5000}}{1+16\times \frac{1}{1000000}\times 2}$$

Multiply 16 and \frac{1}{1000000} to get \frac{1}{62500}.

$$\frac{\frac{1}{5000}}{1+\frac{1}{62500}\times 2}$$

Multiply \frac{1}{62500} and 2 to get \frac{1}{31250}.

$$\frac{\frac{1}{5000}}{1+\frac{1}{31250}}$$

Add 1 and \frac{1}{31250} to get \frac{31251}{31250}.

$$\frac{\frac{1}{5000}}{\frac{31251}{31250}}$$

Divide \frac{1}{5000} by \frac{31251}{31250} by multiplying \frac{1}{5000} by the reciprocal of \frac{31251}{31250}.

$$\frac{1}{5000}\times \frac{31250}{31251}$$

Multiply \frac{1}{5000} and \frac{31250}{31251} to get \frac{25}{125004}.

$$\frac{25}{125004}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 \cdot 11 \cdot 947} = 0.00019999360020479345$$