Solve 110*(40*30-20*20)^2/50*50*50*60

$$\frac { 110 \times ( 40 \times 30 - 20 \times 20 ) ^ { 2 } } { 50 \times 50 \times 50 \times 60 }$$

Evaluate

$$\frac{704}{75}\approx 9.386666667$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{11\left(30\times 40-20\times 20\right)^{2}}{5\times 50\times 50\times 60}$$

Multiply 30 and 40 to get 1200.

$$\frac{11\left(1200-20\times 20\right)^{2}}{5\times 50\times 50\times 60}$$

Multiply 20 and 20 to get 400.

$$\frac{11\left(1200-400\right)^{2}}{5\times 50\times 50\times 60}$$

Subtract 400 from 1200 to get 800.

$$\frac{11\times 800^{2}}{5\times 50\times 50\times 60}$$

Calculate 800 to the power of 2 and get 640000.

$$\frac{11\times 640000}{5\times 50\times 50\times 60}$$

Multiply 11 and 640000 to get 7040000.

$$\frac{7040000}{5\times 50\times 50\times 60}$$

Multiply 5 and 50 to get 250.

$$\frac{7040000}{250\times 50\times 60}$$

Multiply 250 and 50 to get 12500.

$$\frac{7040000}{12500\times 60}$$

Multiply 12500 and 60 to get 750000.

$$\frac{7040000}{750000}$$

Reduce the fraction \frac{7040000}{750000} to lowest terms by extracting and canceling out 10000.

$$\frac{704}{75}$$

Factor

$$\frac{2 ^ {6} \cdot 11}{3 \cdot 5 ^ {2}} = 9\frac{29}{75} = 9.386666666666667$$