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

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

Calcular

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

Pasos da solución

Calcula 10 á potencia de -4 e obtén \frac{1}{10000}.

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

Multiplica 2 e \frac{1}{10000} para obter \frac{1}{5000}.

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

Calcula 10 á potencia de -8 e obtén \frac{1}{100000000}.

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

Multiplica 6 e \frac{1}{100000000} para obter \frac{3}{50000000}.

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

Suma \frac{1}{5000} e \frac{3}{50000000} para obter \frac{10003}{50000000}.

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

Calcula 10 á potencia de -4 e obtén \frac{1}{10000}.

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

Multiplica 3 e \frac{1}{10000} para obter \frac{3}{10000}.

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

Suma 1 e \frac{3}{10000} para obter \frac{10003}{10000}.

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

Divide \frac{10003}{50000000} entre \frac{10003}{10000} mediante a multiplicación de \frac{10003}{50000000} polo recíproco de \frac{10003}{10000}.

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

Multiplica \frac{10003}{50000000} e \frac{10000}{10003} para obter \frac{1}{5000}.

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

Factorizar

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