Solve left(37*11-7*12right)^2*(37+11+7+12)/44*49*23*18

$$\frac{ { \left(37 \times 11-7 \times 12 \right) }^{ 2 } \times (37+11+7+12) }{ 44 \times 49 \times 23 \times 18 }$$

Evaluate

$$\frac{6990043}{892584}\approx 7.831243894$$

Solution Steps

Multiply 37 and 11 to get 407.

$$\frac{\left(407-7\times 12\right)^{2}\left(37+11+7+12\right)}{44\times 49\times 23\times 18}$$

Multiply 7 and 12 to get 84.

$$\frac{\left(407-84\right)^{2}\left(37+11+7+12\right)}{44\times 49\times 23\times 18}$$

Subtract 84 from 407 to get 323.

$$\frac{323^{2}\left(37+11+7+12\right)}{44\times 49\times 23\times 18}$$

Calculate 323 to the power of 2 and get 104329.

$$\frac{104329\left(37+11+7+12\right)}{44\times 49\times 23\times 18}$$

Add 37 and 11 to get 48.

$$\frac{104329\left(48+7+12\right)}{44\times 49\times 23\times 18}$$

Add 48 and 7 to get 55.

$$\frac{104329\left(55+12\right)}{44\times 49\times 23\times 18}$$

Add 55 and 12 to get 67.

$$\frac{104329\times 67}{44\times 49\times 23\times 18}$$

Multiply 104329 and 67 to get 6990043.

$$\frac{6990043}{44\times 49\times 23\times 18}$$

Multiply 44 and 49 to get 2156.

$$\frac{6990043}{2156\times 23\times 18}$$

Multiply 2156 and 23 to get 49588.

$$\frac{6990043}{49588\times 18}$$

Multiply 49588 and 18 to get 892584.

$$\frac{6990043}{892584}$$

Factor

$$\frac{17 ^ {2} \cdot 19 ^ {2} \cdot 67}{2 ^ {3} \cdot 3 ^ {2} \cdot 7 ^ {2} \cdot 11 \cdot 23} = 7\frac{741955}{892584} = 7.8312438941320925$$