Resolver (2(110^-4)+6(10^-8))/1+3(10^-4)I

$$\frac { ( 2 ( 110 ^ { - 4 } ) + 6 ( 10 ^ { - 8 } ) ) } { 1 + 3 ( 10 ^ { - 4 } ) } I$$

Calcular

$$\frac{53923I}{732269615000}$$

Pasos da solución

Calcula 110 á potencia de -4 e obtén \frac{1}{146410000}.

$$\frac{2\times \frac{1}{146410000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

Multiplica 2 e \frac{1}{146410000} para obter \frac{1}{73205000}.

$$\frac{\frac{1}{73205000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+6\times \frac{1}{100000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+\frac{3}{50000000}}{1+3\times 10^{-4}}I$$

Suma \frac{1}{73205000} e \frac{3}{50000000} para obter \frac{53923}{732050000000}.

$$\frac{\frac{53923}{732050000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+3\times \frac{1}{10000}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+\frac{3}{10000}}I$$

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

$$\frac{\frac{53923}{732050000000}}{\frac{10003}{10000}}I$$

Divide \frac{53923}{732050000000} entre \frac{10003}{10000} mediante a multiplicación de \frac{53923}{732050000000} polo recíproco de \frac{10003}{10000}.

$$\frac{53923}{732050000000}\times \frac{10000}{10003}I$$

Multiplica \frac{53923}{732050000000} e \frac{10000}{10003} para obter \frac{53923}{732269615000}.

$$\frac{53923}{732269615000}I$$

Expandir

$$\frac{53923I}{732269615000}$$

Pasos da solución

Calcula 110 á potencia de -4 e obtén \frac{1}{146410000}.

$$\frac{2\times \frac{1}{146410000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

Multiplica 2 e \frac{1}{146410000} para obter \frac{1}{73205000}.

$$\frac{\frac{1}{73205000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+6\times \frac{1}{100000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+\frac{3}{50000000}}{1+3\times 10^{-4}}I$$

Suma \frac{1}{73205000} e \frac{3}{50000000} para obter \frac{53923}{732050000000}.

$$\frac{\frac{53923}{732050000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+3\times \frac{1}{10000}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+\frac{3}{10000}}I$$

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

$$\frac{\frac{53923}{732050000000}}{\frac{10003}{10000}}I$$

Divide \frac{53923}{732050000000} entre \frac{10003}{10000} mediante a multiplicación de \frac{53923}{732050000000} polo recíproco de \frac{10003}{10000}.

$$\frac{53923}{732050000000}\times \frac{10000}{10003}I$$

Multiplica \frac{53923}{732050000000} e \frac{10000}{10003} para obter \frac{53923}{732269615000}.

$$\frac{53923}{732269615000}I$$