Solve (2(10^-4)+6(10^-8))/1+3(10^-4)

$$\frac { ( 2 ( 10 ^ { - 4 } ) + 6 ( 10 ^ { - 8 } ) ) } { 1 + 3 ( 10 ^ { - 4 } ) }$$

Evaluate

$$\frac{1}{5000}=0.0002$$

Solution Steps

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

$$\frac{2\times \frac{1}{10000}+6\times 10^{-8}}{1+3\times 10^{-4}}$$

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

$$\frac{\frac{1}{5000}+6\times 10^{-8}}{1+3\times 10^{-4}}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$\frac{\frac{1}{5000}+6\times \frac{1}{100000000}}{1+3\times 10^{-4}}$$

Multiply 6 and \frac{1}{100000000} to get \frac{3}{50000000}.

$$\frac{\frac{1}{5000}+\frac{3}{50000000}}{1+3\times 10^{-4}}$$

Add \frac{1}{5000} and \frac{3}{50000000} to get \frac{10003}{50000000}.

$$\frac{\frac{10003}{50000000}}{1+3\times 10^{-4}}$$

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

$$\frac{\frac{10003}{50000000}}{1+3\times \frac{1}{10000}}$$

Multiply 3 and \frac{1}{10000} to get \frac{3}{10000}.

$$\frac{\frac{10003}{50000000}}{1+\frac{3}{10000}}$$

Add 1 and \frac{3}{10000} to get \frac{10003}{10000}.

$$\frac{\frac{10003}{50000000}}{\frac{10003}{10000}}$$

Divide \frac{10003}{50000000} by \frac{10003}{10000} by multiplying \frac{10003}{50000000} by the reciprocal of \frac{10003}{10000}.

$$\frac{10003}{50000000}\times \frac{10000}{10003}$$

Multiply \frac{10003}{50000000} and \frac{10000}{10003} to get \frac{1}{5000}.

$$\frac{1}{5000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0.0002$$