Solve 80*(32*20-8*20)^2/52*28*40*40

$$\frac { 80 \times ( 32 \times 20 - 8 \times 20 ) ^ { 2 } } { 52 \times 28 \times 40 \times 40 }$$

Evaluate

$$\frac{720}{91}\approx 7.912087912$$

Solution Steps

Cancel out 4\times 4\times 5 in both numerator and denominator.

$$\frac{\left(20\times 32-8\times 20\right)^{2}}{7\times 8\times 13\times 40}$$

Multiply 20 and 32 to get 640.

$$\frac{\left(640-8\times 20\right)^{2}}{7\times 8\times 13\times 40}$$

Multiply 8 and 20 to get 160.

$$\frac{\left(640-160\right)^{2}}{7\times 8\times 13\times 40}$$

Subtract 160 from 640 to get 480.

$$\frac{480^{2}}{7\times 8\times 13\times 40}$$

Calculate 480 to the power of 2 and get 230400.

$$\frac{230400}{7\times 8\times 13\times 40}$$

Multiply 7 and 8 to get 56.

$$\frac{230400}{56\times 13\times 40}$$

Multiply 56 and 13 to get 728.

$$\frac{230400}{728\times 40}$$

Multiply 728 and 40 to get 29120.

$$\frac{230400}{29120}$$

Reduce the fraction \frac{230400}{29120} to lowest terms by extracting and canceling out 320.

$$\frac{720}{91}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5}{7 \cdot 13} = 7\frac{83}{91} = 7.912087912087912$$