Solve 1468*5410^-3/10^-6+314

$$\frac { 1468 \times 5410 ^ { - 3 } } { 10 ^ { - 6 } + 314 }$$

Evaluate

$$\frac{1468000}{49718892352340421}\approx 2.952599969 \cdot 10^{-11}$$

Solution Steps

Calculate 5410 to the power of -3 and get \frac{1}{158340421000}.

$$\frac{1468\times \frac{1}{158340421000}}{10^{-6}+314}$$

Multiply 1468 and \frac{1}{158340421000} to get \frac{367}{39585105250}.

$$\frac{\frac{367}{39585105250}}{10^{-6}+314}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\frac{367}{39585105250}}{\frac{1}{1000000}+314}$$

Add \frac{1}{1000000} and 314 to get \frac{314000001}{1000000}.

$$\frac{\frac{367}{39585105250}}{\frac{314000001}{1000000}}$$

Divide \frac{367}{39585105250} by \frac{314000001}{1000000} by multiplying \frac{367}{39585105250} by the reciprocal of \frac{314000001}{1000000}.

$$\frac{367}{39585105250}\times \frac{1000000}{314000001}$$

Multiply \frac{367}{39585105250} and \frac{1000000}{314000001} to get \frac{1468000}{49718892352340421}.

$$\frac{1468000}{49718892352340421}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3} \cdot 367}{3 ^ {2} \cdot 7 \cdot 61 \cdot 541 ^ {3} \cdot 81707} = 2.9525999686332445 \times 10^{-11}$$