Solve 5,2^8+3,1^7/5,2^2+3,1^2-(5,2)(3,1)

$$\frac { 5,2 ^ { 8 } + 3,1 ^ { 7 } } { 5,2 ^ { 2 } + 3,1 ^ { 2 } - ( 5,2 ) ( 3,1 ) }$$

Evaluate

$$\frac{32075}{172}\approx 186,48255814$$

Solution Steps

Calculate 2 to the power of 8 and get 256.

$$\frac{5\times 256+3\times 1^{7}}{5\times 2^{2}+3\times 1^{2}-5,2\times 3,1}$$

Multiply 5 and 256 to get 1280.

$$\frac{1280+3\times 1^{7}}{5\times 2^{2}+3\times 1^{2}-5,2\times 3,1}$$

Calculate 1 to the power of 7 and get 1.

$$\frac{1280+3\times 1}{5\times 2^{2}+3\times 1^{2}-5,2\times 3,1}$$

Multiply 3 and 1 to get 3.

$$\frac{1280+3}{5\times 2^{2}+3\times 1^{2}-5,2\times 3,1}$$

Add 1280 and 3 to get 1283.

$$\frac{1283}{5\times 2^{2}+3\times 1^{2}-5,2\times 3,1}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1283}{5\times 4+3\times 1^{2}-5,2\times 3,1}$$

Multiply 5 and 4 to get 20.

$$\frac{1283}{20+3\times 1^{2}-5,2\times 3,1}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1283}{20+3\times 1-5,2\times 3,1}$$

Multiply 3 and 1 to get 3.

$$\frac{1283}{20+3-5,2\times 3,1}$$

Add 20 and 3 to get 23.

$$\frac{1283}{23-5,2\times 3,1}$$

Multiply 5,2 and 3,1 to get 16,12.

$$\frac{1283}{23-16,12}$$

Subtract 16,12 from 23 to get 6,88.

$$\frac{1283}{6,88}$$

Expand \frac{1283}{6,88} by multiplying both numerator and the denominator by 100.

$$\frac{128300}{688}$$

Reduce the fraction \frac{128300}{688} to lowest terms by extracting and canceling out 4.

$$\frac{32075}{172}$$

Factor

$$\frac{1283 \cdot 5 ^ {2}}{43 \cdot 2 ^ {2}} = 186\frac{83}{172} = 186.4825581395349$$