Solve 25^2+4^7/2^9+5^4=

$$\frac { 25 ^ { 2 } + 4 ^ { 7 } } { 2 ^ { 9 } + 5 ^ { 4 } } =$$

Evaluate

$$\frac{17009}{1137}\approx 14.959542656$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$\frac{625+4^{7}}{2^{9}+5^{4}}$$

Calculate 4 to the power of 7 and get 16384.

$$\frac{625+16384}{2^{9}+5^{4}}$$

Add 625 and 16384 to get 17009.

$$\frac{17009}{2^{9}+5^{4}}$$

Calculate 2 to the power of 9 and get 512.

$$\frac{17009}{512+5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{17009}{512+625}$$

Add 512 and 625 to get 1137.

$$\frac{17009}{1137}$$

Factor

$$\frac{73 \cdot 233}{3 \cdot 379} = 14\frac{1091}{1137} = 14.959542656112577$$