Solve 310^8/510^14

$$\frac { 310 ^ { 8 } } { 510 ^ { 14 } }$$

Evaluate

$$\frac{852891037441}{805345924720991301978201000000}\approx 1.059036882 \cdot 10^{-18}$$

Solution Steps

Calculate 310 to the power of 8 and get 85289103744100000000.

$$\frac{85289103744100000000}{510^{14}}$$

Calculate 510 to the power of 14 and get 80534592472099130197820100000000000000.

$$\frac{85289103744100000000}{80534592472099130197820100000000000000}$$

Reduce the fraction \frac{85289103744100000000}{80534592472099130197820100000000000000} to lowest terms by extracting and canceling out 100000000.

$$\frac{852891037441}{805345924720991301978201000000}$$

Factor

$$\frac{31 ^ {8}}{2 ^ {6} \cdot 3 ^ {14} \cdot 5 ^ {6} \cdot 17 ^ {14}} = 1.0590368824880816 \times 10^{-18}$$