Solve 1.26*1000*8*314*10^3*300/2.57*10^-3*200

$$\frac { 1.26 \times 1000 \times 8 \cdot 314 \times 10 ^ { 3 } \times 300 } { 2.57 \times 10 ^ { - 3 } \times 200 }$$

Evaluate

$$\frac{474768000000000}{257}\approx 1.847346304 \cdot 10^{12}$$

Solution Steps

Cancel out 200 in both numerator and denominator.

$$\frac{1.26\times 5\times 8\times 300\times 314\times 10^{3}}{2.57\times 10^{-3}}$$

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

$$\frac{1.26\times 5\times 8\times 300\times 314\times 10^{6}}{2.57}$$

Multiply 1.26 and 5 to get 6.3.

$$\frac{6.3\times 8\times 300\times 314\times 10^{6}}{2.57}$$

Multiply 6.3 and 8 to get 50.4.

$$\frac{50.4\times 300\times 314\times 10^{6}}{2.57}$$

Multiply 50.4 and 300 to get 15120.

$$\frac{15120\times 314\times 10^{6}}{2.57}$$

Multiply 15120 and 314 to get 4747680.

$$\frac{4747680\times 10^{6}}{2.57}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4747680\times 1000000}{2.57}$$

Multiply 4747680 and 1000000 to get 4747680000000.

$$\frac{4747680000000}{2.57}$$

Expand \frac{4747680000000}{2.57} by multiplying both numerator and the denominator by 100.

$$\frac{474768000000000}{257}$$

Factor

$$\frac{7 \cdot 157 \cdot 2 ^ {13} \cdot 3 ^ {3} \cdot 5 ^ {9}}{257} = 1847346303501\frac{243}{257} = 1847346303501.9456$$