Solve 52^8/62^8

$$\frac { 52 ^ { 8 } } { 62 ^ { 8 } }$$

Evaluate

$$\frac{208827064576}{852891037441}\approx 0.244846124$$

Solution Steps

Calculate 52 to the power of 8 and get 53459728531456.

$$\frac{53459728531456}{62^{8}}$$

Calculate 62 to the power of 8 and get 218340105584896.

$$\frac{53459728531456}{218340105584896}$$

Reduce the fraction \frac{53459728531456}{218340105584896} to lowest terms by extracting and canceling out 256.

$$\frac{208827064576}{852891037441}$$

Factor

$$\frac{2 ^ {8} \cdot 13 ^ {8}}{31 ^ {8}} = 0.2448461238408147$$