Solve 126*1000*8314*10^-2*300/257*10^-3*200

$$\frac { 126 \times 1000 \times 8314 \times 10 ^ { - 2 } \times 300 } { 257 \times 10 ^ { - 3 } \times 200 }$$

Evaluate

$$\frac{15713460000}{257}\approx 61141867.704280156$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{10\times 63\times 300\times 8314\times 10^{-2}}{257\times 10^{-3}}$$

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

$$\frac{63\times 300\times 8314\times 10^{-2}\times 10^{4}}{257}$$

To multiply powers of the same base, add their exponents. Add -2 and 4 to get 2.

$$\frac{63\times 300\times 8314\times 10^{2}}{257}$$

Multiply 63 and 300 to get 18900.

$$\frac{18900\times 8314\times 10^{2}}{257}$$

Multiply 18900 and 8314 to get 157134600.

$$\frac{157134600\times 10^{2}}{257}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{157134600\times 100}{257}$$

Multiply 157134600 and 100 to get 15713460000.

$$\frac{15713460000}{257}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {3} \cdot 5 ^ {4} \cdot 7 \cdot 4157}{257} = 61141867\frac{181}{257} = 61141867.70428015$$