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

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

Procijeni

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

Koraci za rješenje

Pomnožite 2303 i 8314 da biste dobili 19147142.

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

Izračunajte 10 stepen od -3 i dobijte \frac{1}{1000}.

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

Pomnožite 19147142 i \frac{1}{1000} da biste dobili \frac{9573571}{500}.

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

Podijelite 1241 sa \frac{9573571}{500} tako što ćete pomnožiti 1241 recipročnom vrijednošću od \frac{9573571}{500}.

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

Pomnožite 1241 i \frac{500}{9573571} da biste dobili \frac{620500}{9573571}.

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

Oduzmite \frac{1}{310} od \frac{1}{300} da biste dobili \frac{1}{9300}.

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

Pomnožite \frac{620500}{9573571} i \frac{1}{9300} da biste dobili \frac{6205}{890342103}.

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

Faktor

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