Solve 1.26*1000*8.314*10^-2*300/2.57*10^-3*200

$$\frac { 1.26 \times 1000 \times 8.314 \times 10 ^ { - 2 } \times 300 } { 2.57 \times 10 ^ { - 3 } \times 200 }$$

Evaluate

$$\frac{15713460}{257}\approx 61141.86770428$$

Solution Steps

Cancel out 200 in both numerator and denominator.

$$\frac{1.26\times 5\times 8.314\times 300\times 10^{-2}}{2.57\times 10^{-3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{1.26\times 5\times 8.314\times 300\times 10^{1}}{2.57}$$

Multiply 1.26 and 5 to get 6.3.

$$\frac{6.3\times 8.314\times 300\times 10^{1}}{2.57}$$

Multiply 6.3 and 8.314 to get 52.3782.

$$\frac{52.3782\times 300\times 10^{1}}{2.57}$$

Multiply 52.3782 and 300 to get 15713.46.

$$\frac{15713.46\times 10^{1}}{2.57}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{15713.46\times 10}{2.57}$$

Multiply 15713.46 and 10 to get 157134.6.

$$\frac{157134.6}{2.57}$$

Expand \frac{157134.6}{2.57} by multiplying both numerator and the denominator by 100.

$$\frac{15713460}{257}$$

Factor

$$\frac{5 \cdot 7 \cdot 4157 \cdot 2 ^ {2} \cdot 3 ^ {3}}{257} = 61141\frac{223}{257} = 61141.86770428016$$