Solve 160*160*160+40*40*40/160*160-160*40+40*40

$$\frac { 160 \times 160 \times 160 + 40 \times 40 \times 40 } { 160 \times 160 - 160 \times 40 + 40 \times 40 }$$

Evaluate

$$200$$

Solution Steps

Multiply 160 and 160 to get 25600. Multiply 40 and 40 to get 1600.

$$\frac{25600\times 160+1600\times 40}{160\times 160-160\times 40+40\times 40}$$

Multiply 25600 and 160 to get 4096000.

$$\frac{4096000+1600\times 40}{160\times 160-160\times 40+40\times 40}$$

Multiply 1600 and 40 to get 64000.

$$\frac{4096000+64000}{160\times 160-160\times 40+40\times 40}$$

Add 4096000 and 64000 to get 4160000.

$$\frac{4160000}{160\times 160-160\times 40+40\times 40}$$

Multiply 160 and 160 to get 25600.

$$\frac{4160000}{25600-160\times 40+40\times 40}$$

Multiply 160 and 40 to get 6400.

$$\frac{4160000}{25600-6400+40\times 40}$$

Subtract 6400 from 25600 to get 19200.

$$\frac{4160000}{19200+40\times 40}$$

Multiply 40 and 40 to get 1600.

$$\frac{4160000}{19200+1600}$$

Add 19200 and 1600 to get 20800.

$$\frac{4160000}{20800}$$

Divide 4160000 by 20800 to get 200.

$$200$$

Factor

$$2^{3}\times 5^{2}$$