Solve 8.314*300/1*10^-3-4.27*10^-5-364000

$$\frac { 8.314 \times 300 } { 1 \times 10 ^ { - 3 } - 4.27 \times 10 ^ { - 5 } } - 364000$$

Evaluate

$$\frac{7152476000}{3191}\approx 2241452.836101536$$

Solution Steps

Multiply 8.314 and 300 to get 2494.2.

$$\frac{2494.2}{1\times 10^{-3}-4.27\times 10^{-5}}-364000$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{2494.2}{1\times \frac{1}{1000}-4.27\times 10^{-5}}-364000$$

Multiply 1 and \frac{1}{1000} to get \frac{1}{1000}.

$$\frac{2494.2}{\frac{1}{1000}-4.27\times 10^{-5}}-364000$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{2494.2}{\frac{1}{1000}-4.27\times \frac{1}{100000}}-364000$$

Multiply 4.27 and \frac{1}{100000} to get \frac{427}{10000000}.

$$\frac{2494.2}{\frac{1}{1000}-\frac{427}{10000000}}-364000$$

Subtract \frac{427}{10000000} from \frac{1}{1000} to get \frac{9573}{10000000}.

$$\frac{2494.2}{\frac{9573}{10000000}}-364000$$

Divide 2494.2 by \frac{9573}{10000000} by multiplying 2494.2 by the reciprocal of \frac{9573}{10000000}.

$$2494.2\times \frac{10000000}{9573}-364000$$

Multiply 2494.2 and \frac{10000000}{9573} to get \frac{8314000000}{3191}.

$$\frac{8314000000}{3191}-364000$$

Subtract 364000 from \frac{8314000000}{3191} to get \frac{7152476000}{3191}.

$$\frac{7152476000}{3191}$$

Factor

$$\frac{1039 \cdot 1721 \cdot 2 ^ {5} \cdot 5 ^ {3}}{3191} = 2241452\frac{2668}{3191} = 2241452.8361015357$$