Solve 5^1015^7/81^25^15

$$\frac { 5 ^ { 10 } 15 ^ { 7 } } { 81 ^ { 2 } 5 ^ { 15 } }$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Cancel out 5^{10} in both numerator and denominator.

$$\frac{15^{7}}{5^{5}\times 81^{2}}$$

Calculate 15 to the power of 7 and get 170859375.

$$\frac{170859375}{5^{5}\times 81^{2}}$$

Calculate 5 to the power of 5 and get 3125.

$$\frac{170859375}{3125\times 81^{2}}$$

Calculate 81 to the power of 2 and get 6561.

$$\frac{170859375}{3125\times 6561}$$

Multiply 3125 and 6561 to get 20503125.

$$\frac{170859375}{20503125}$$

Reduce the fraction \frac{170859375}{20503125} to lowest terms by extracting and canceling out 6834375.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$