Solve 200(62*66-34*38)^2/100*100*96*104

$$\frac { 200 ( 62 \times 66 - 34 \times 38 ) ^ { 2 } } { 100 \times 100 \times 96 \times 104 }$$

Evaluate

$$\frac{1225}{78}\approx 15.705128205$$

Solution Steps

Cancel out 2\times 100 in both numerator and denominator.

$$\frac{\left(62\times 66-34\times 38\right)^{2}}{50\times 96\times 104}$$

Multiply 62 and 66 to get 4092.

$$\frac{\left(4092-34\times 38\right)^{2}}{50\times 96\times 104}$$

Multiply 34 and 38 to get 1292.

$$\frac{\left(4092-1292\right)^{2}}{50\times 96\times 104}$$

Subtract 1292 from 4092 to get 2800.

$$\frac{2800^{2}}{50\times 96\times 104}$$

Calculate 2800 to the power of 2 and get 7840000.

$$\frac{7840000}{50\times 96\times 104}$$

Multiply 50 and 96 to get 4800.

$$\frac{7840000}{4800\times 104}$$

Multiply 4800 and 104 to get 499200.

$$\frac{7840000}{499200}$$

Reduce the fraction \frac{7840000}{499200} to lowest terms by extracting and canceling out 6400.

$$\frac{1225}{78}$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 \cdot 3 \cdot 13} = 15\frac{55}{78} = 15.705128205128204$$