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

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

Avaliar

$$\frac{6205}{890342103}\approx 0,000006969$$

Passos Para a Resolução

Multiplique 2303 e 8314 para obter 19147142.

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

Calcule 10 elevado a -3 e obtenha \frac{1}{1000}.

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

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

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

Divida 1241 por \frac{9573571}{500} ao multiplicar 1241 pelo recíproco de \frac{9573571}{500}.

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

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

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

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

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

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

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

Fatorizar

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