Solve 500^6-1/504

$$\frac { 500 ^ { 6 } - 1 } { 504 }$$

Evaluate

$$\frac{248015873015873}{8}=3.100198413 \cdot 10^{13}$$

Solution Steps

Calculate 500 to the power of 6 and get 15625000000000000.

$$\frac{15625000000000000-1}{504}$$

Subtract 1 from 15625000000000000 to get 15624999999999999.

$$\frac{15624999999999999}{504}$$

Reduce the fraction \frac{15624999999999999}{504} to lowest terms by extracting and canceling out 63.

$$\frac{248015873015873}{8}$$

Factor

$$\frac{109 ^ {2} \cdot 167 \cdot 499 \cdot 250501}{2 ^ {3}} = 31001984126984\frac{1}{8} = 31001984126984.125$$