Solve 3^15+3^13/3^17-3^15

$$\frac{ { 3 }^{ 15 } + { 3 }^{ 13 } }{ { 3 }^{ 17 } - { 3 }^{ 15 } }$$

Evaluate

$$\frac{5}{36}\approx 0.138888889$$

Solution Steps

Calculate 3 to the power of 15 and get 14348907.

$$\frac{14348907+3^{13}}{3^{17}-3^{15}}$$

Calculate 3 to the power of 13 and get 1594323.

$$\frac{14348907+1594323}{3^{17}-3^{15}}$$

Add 14348907 and 1594323 to get 15943230.

$$\frac{15943230}{3^{17}-3^{15}}$$

Calculate 3 to the power of 17 and get 129140163.

$$\frac{15943230}{129140163-3^{15}}$$

Calculate 3 to the power of 15 and get 14348907.

$$\frac{15943230}{129140163-14348907}$$

Subtract 14348907 from 129140163 to get 114791256.

$$\frac{15943230}{114791256}$$

Reduce the fraction \frac{15943230}{114791256} to lowest terms by extracting and canceling out 3188646.

$$\frac{5}{36}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3 ^ {2}} = 0.1388888888888889$$