Resolver 1241/2303*8314*10^-3[1/300-1/310]

$$\frac { 1241 } { 2303 \times 8314 \times 10 ^ { - 3 } } [ \frac { 1 } { 300 } - \frac { 1 } { 310 } ]$$

Calcular

$$\frac{6205}{890342103}\approx 0.000006969$$

Pasos da solución

Multiplica 2303 e 8314 para obter 19147142.

$$\frac{1241}{19147142\times 10^{-3}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Calcula 10 á potencia de -3 e obtén \frac{1}{1000}.

$$\frac{1241}{19147142\times \frac{1}{1000}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiplica 19147142 e \frac{1}{1000} para obter \frac{9573571}{500}.

$$\frac{1241}{\frac{9573571}{500}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Divide 1241 entre \frac{9573571}{500} mediante a multiplicación de 1241 polo recíproco de \frac{9573571}{500}.

$$1241\times \frac{500}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiplica 1241 e \frac{500}{9573571} para obter \frac{620500}{9573571}.

$$\frac{620500}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Resta \frac{1}{310} de \frac{1}{300} para obter \frac{1}{9300}.

$$\frac{620500}{9573571}\times \frac{1}{9300}$$

Multiplica \frac{620500}{9573571} e \frac{1}{9300} para obter \frac{6205}{890342103}.

$$\frac{6205}{890342103}$$

Factorizar

$$\frac{5 \cdot 17 \cdot 73}{3 \cdot 7 ^ {2} \cdot 31 \cdot 47 \cdot 4157} = 6.969231241668013 \times 10^{-6}$$