Solve 100*(8*48-48*10)^2/10*90*50*50

$$\frac { 100 \times ( 8 \times 48 - 48 \times 10 ) ^ { 2 } } { 10 \times 90 \times 50 \times 50 }$$

Evaluate

$$\frac{256}{625}=0.4096$$

Solution Steps

Cancel out 10\times 10 in both numerator and denominator.

$$\frac{\left(8\times 48-10\times 48\right)^{2}}{9\times 50\times 50}$$

Multiply 8 and 48 to get 384.

$$\frac{\left(384-10\times 48\right)^{2}}{9\times 50\times 50}$$

Multiply 10 and 48 to get 480.

$$\frac{\left(384-480\right)^{2}}{9\times 50\times 50}$$

Subtract 480 from 384 to get -96.

$$\frac{\left(-96\right)^{2}}{9\times 50\times 50}$$

Calculate -96 to the power of 2 and get 9216.

$$\frac{9216}{9\times 50\times 50}$$

Multiply 9 and 50 to get 450.

$$\frac{9216}{450\times 50}$$

Multiply 450 and 50 to get 22500.

$$\frac{9216}{22500}$$

Reduce the fraction \frac{9216}{22500} to lowest terms by extracting and canceling out 36.

$$\frac{256}{625}$$

Factor

$$\frac{2 ^ {8}}{5 ^ {4}} = 0.4096$$