Solve frac{3^{9}-3^8-3^7}{3^4*3^3}

$$\frac { 3 ^ { 9 } - 3 ^ { 8 } - 3 ^ { 7 } } { 3 ^ { 4 } \cdot 3 ^ { 3 } }$$

Evaluate

$$5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\frac{3^{9}-3^{8}-3^{7}}{3^{7}}$$

Calculate 3 to the power of 9 and get 19683.

$$\frac{19683-3^{8}-3^{7}}{3^{7}}$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{19683-6561-3^{7}}{3^{7}}$$

Subtract 6561 from 19683 to get 13122.

$$\frac{13122-3^{7}}{3^{7}}$$

Calculate 3 to the power of 7 and get 2187.

$$\frac{13122-2187}{3^{7}}$$

Subtract 2187 from 13122 to get 10935.

$$\frac{10935}{3^{7}}$$

Calculate 3 to the power of 7 and get 2187.

$$\frac{10935}{2187}$$

Divide 10935 by 2187 to get 5.

$$5$$

Factor

$$5$$