Solve 5^10-17.5^8/5^8

$$\frac { 5 ^ { 10 } - 17.5 ^ { 8 } } { 5 ^ { 8 } }$$

Evaluate

$$-22493.75390625$$

Solution Steps

Calculate 5 to the power of 10 and get 9765625.

$$\frac{9765625-17.5^{8}}{5^{8}}$$

Calculate 17.5 to the power of 8 and get 8796388244.62890625.

$$\frac{9765625-8796388244.62890625}{5^{8}}$$

Subtract 8796388244.62890625 from 9765625 to get -8786622619.62890625.

$$\frac{-8786622619.62890625}{5^{8}}$$

Calculate 5 to the power of 8 and get 390625.

$$\frac{-8786622619.62890625}{390625}$$

Expand \frac{-8786622619.62890625}{390625} by multiplying both numerator and the denominator by 100000000.

$$\frac{-878662261962890625}{39062500000000}$$

Reduce the fraction \frac{-878662261962890625}{39062500000000} to lowest terms by extracting and canceling out 152587890625.

$$-\frac{5758401}{256}$$

Factor

$$-22493.75390625$$