Solve 3.10^8/5.10^14

$$\frac { 3.10 ^ { 8 } } { 5.10 ^ { 14 } }$$

Evaluate

$$\frac{852891037441000000}{805345924720991301978201}\approx 0.000001059$$

Solution Steps

Calculate 3.1 to the power of 8 and get 8528.91037441.

$$\frac{8528.91037441}{5.1^{14}}$$

Calculate 5.1 to the power of 14 and get 8053459247.20991301978201.

$$\frac{8528.91037441}{8053459247.20991301978201}$$

Expand \frac{8528.91037441}{8053459247.20991301978201} by multiplying both numerator and the denominator by 100000000000000.

$$\frac{852891037441000000}{805345924720991301978201}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {6} \cdot 31 ^ {8}}{3 ^ {14} \cdot 17 ^ {14}} = 1.0590368824880818 \times 10^{-6}$$