Solve frac{3^{12}-3^{11}-3^10}{3^11+3^10+3^10}

$$\frac { 3 ^ { 12 } - 3 ^ { 11 } - 3 ^ { 10 } } { 3 ^ { 11 } + 3 ^ { 10 } + 3 ^ { 10 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 3 to the power of 12 and get 531441.

$$\frac{531441-3^{11}-3^{10}}{3^{11}+3^{10}+3^{10}}$$

Calculate 3 to the power of 11 and get 177147.

$$\frac{531441-177147-3^{10}}{3^{11}+3^{10}+3^{10}}$$

Subtract 177147 from 531441 to get 354294.

$$\frac{354294-3^{10}}{3^{11}+3^{10}+3^{10}}$$

Calculate 3 to the power of 10 and get 59049.

$$\frac{354294-59049}{3^{11}+3^{10}+3^{10}}$$

Subtract 59049 from 354294 to get 295245.

$$\frac{295245}{3^{11}+3^{10}+3^{10}}$$

Calculate 3 to the power of 11 and get 177147.

$$\frac{295245}{177147+3^{10}+3^{10}}$$

Calculate 3 to the power of 10 and get 59049.

$$\frac{295245}{177147+59049+3^{10}}$$

Add 177147 and 59049 to get 236196.

$$\frac{295245}{236196+3^{10}}$$

Calculate 3 to the power of 10 and get 59049.

$$\frac{295245}{236196+59049}$$

Add 236196 and 59049 to get 295245.

$$\frac{295245}{295245}$$

Divide 295245 by 295245 to get 1.

$$1$$

Factor

$$1$$