Solucionar 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 de la solución

Multiplica 2303 y 8314 para obtener 19147142.

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

Calcula 10 a la potencia de -3 y obtiene \frac{1}{1000}.

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

Multiplica 19147142 y \frac{1}{1000} para obtener \frac{9573571}{500}.

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

Divide 1241 por \frac{9573571}{500} al multiplicar 1241 por el recíproco de \frac{9573571}{500}.

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

Multiplica 1241 y \frac{500}{9573571} para obtener \frac{620500}{9573571}.

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

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

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

Multiplica \frac{620500}{9573571} y \frac{1}{9300} para obtener \frac{6205}{890342103}.

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

Factorizar

$$\frac{5 \cdot 17 \cdot 73}{3 \cdot 7 ^ {2} \cdot 31 \cdot 47 \cdot 4157} = 6,969231241668013 \times 10^{-6}$$