Solve 3^7+3^8/3^10+3^4

$$\frac { 3 ^ { 7 } + 3 ^ { 8 } } { 3 ^ { 10 } + 3 ^ { 4 } }$$

Evaluate

$$\frac{54}{365}\approx 0.147945205$$

Solution Steps

Calculate 3 to the power of 7 and get 2187.

$$\frac{2187+3^{8}}{3^{10}+3^{4}}$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{2187+6561}{3^{10}+3^{4}}$$

Add 2187 and 6561 to get 8748.

$$\frac{8748}{3^{10}+3^{4}}$$

Calculate 3 to the power of 10 and get 59049.

$$\frac{8748}{59049+3^{4}}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{8748}{59049+81}$$

Add 59049 and 81 to get 59130.

$$\frac{8748}{59130}$$

Reduce the fraction \frac{8748}{59130} to lowest terms by extracting and canceling out 162.

$$\frac{54}{365}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5 \cdot 73} = 0.14794520547945206$$