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

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

Avaliar

$$\frac{1}{5000}=0,0002$$

Passos Para a Resolução

Calcule 10 elevado a -4 e obtenha \frac{1}{10000}.

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

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

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

Calcule 10 elevado a -8 e obtenha \frac{1}{100000000}.

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

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

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

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

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

Calcule 10 elevado a -4 e obtenha \frac{1}{10000}.

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

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

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

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

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

Divida \frac{10003}{50000000} por \frac{10003}{10000} ao multiplicar \frac{10003}{50000000} pelo recíproco de \frac{10003}{10000}.

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

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

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

Fatorizar

$$\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0,0002$$