Solve frac{27^{5}+27^4}{9^8+9^7+9^6}

$$\frac { 27 ^ { 5 } + 27 ^ { 4 } } { 9 ^ { 8 } + 9 ^ { 7 } + 9 ^ { 6 } }$$

Evaluate

$$\frac{4}{13}\approx 0.307692308$$

Solution Steps

Calculate 27 to the power of 5 and get 14348907.

$$\frac{14348907+27^{4}}{9^{8}+9^{7}+9^{6}}$$

Calculate 27 to the power of 4 and get 531441.

$$\frac{14348907+531441}{9^{8}+9^{7}+9^{6}}$$

Add 14348907 and 531441 to get 14880348.

$$\frac{14880348}{9^{8}+9^{7}+9^{6}}$$

Calculate 9 to the power of 8 and get 43046721.

$$\frac{14880348}{43046721+9^{7}+9^{6}}$$

Calculate 9 to the power of 7 and get 4782969.

$$\frac{14880348}{43046721+4782969+9^{6}}$$

Add 43046721 and 4782969 to get 47829690.

$$\frac{14880348}{47829690+9^{6}}$$

Calculate 9 to the power of 6 and get 531441.

$$\frac{14880348}{47829690+531441}$$

Add 47829690 and 531441 to get 48361131.

$$\frac{14880348}{48361131}$$

Reduce the fraction \frac{14880348}{48361131} to lowest terms by extracting and canceling out 3720087.

$$\frac{4}{13}$$

Factor

$$\frac{2 ^ {2}}{13} = 0.3076923076923077$$