Solve 3^8+3^6/3^9-3^7=

$$\frac { 3 ^ { 8 } + 3 ^ { 6 } } { 3 ^ { 9 } - 3 ^ { 7 } } =$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Calculate 3 to the power of 8 and get 6561.

$$\frac{6561+3^{6}}{3^{9}-3^{7}}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{6561+729}{3^{9}-3^{7}}$$

Add 6561 and 729 to get 7290.

$$\frac{7290}{3^{9}-3^{7}}$$

Calculate 3 to the power of 9 and get 19683.

$$\frac{7290}{19683-3^{7}}$$

Calculate 3 to the power of 7 and get 2187.

$$\frac{7290}{19683-2187}$$

Subtract 2187 from 19683 to get 17496.

$$\frac{7290}{17496}$$

Reduce the fraction \frac{7290}{17496} to lowest terms by extracting and canceling out 1458.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$