Solve 9^7-9^5/9^4-9^3

$$\frac { 9 ^ { 7 } - 9 ^ { 5 } } { 9 ^ { 4 } - 9 ^ { 3 } }$$

Evaluate

$$810$$

Solution Steps

Calculate 9 to the power of 7 and get 4782969.

$$\frac{4782969-9^{5}}{9^{4}-9^{3}}$$

Calculate 9 to the power of 5 and get 59049.

$$\frac{4782969-59049}{9^{4}-9^{3}}$$

Subtract 59049 from 4782969 to get 4723920.

$$\frac{4723920}{9^{4}-9^{3}}$$

Calculate 9 to the power of 4 and get 6561.

$$\frac{4723920}{6561-9^{3}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{4723920}{6561-729}$$

Subtract 729 from 6561 to get 5832.

$$\frac{4723920}{5832}$$

Divide 4723920 by 5832 to get 810.

$$810$$

Factor

$$2\times 3^{4}\times 5$$