Solve 2*2*2*2*2-2-2-2-2-2-2-2-2-5-5-5div5div5div5div5-5-5div5*256

$$2 \times 2 \times 2 \times 2 \times 2-2-2-2-2-2-2-2-2-5-5-5 \div 5 \div 5 \div 5 \div 5-5-5 \div 5 \times 256$$

Evaluate

$$-\frac{31876}{125}=-255.008$$

Solution Steps

Divide 5 by 5 to get 1.

$$2\times 2\times 2\times 2\times 2-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-\frac{5}{5}\times 256$$

Divide 5 by 5 to get 1.

$$2\times 2\times 2\times 2\times 2-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Multiply 2 and 2 to get 4.

$$4\times 2\times 2\times 2-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Multiply 4 and 2 to get 8.

$$8\times 2\times 2-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Multiply 8 and 2 to get 16.

$$16\times 2-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Multiply 16 and 2 to get 32.

$$32-2-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 32 to get 30.

$$30-2-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 30 to get 28.

$$28-2-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 28 to get 26.

$$26-2-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 26 to get 24.

$$24-2-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 24 to get 22.

$$22-2-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 22 to get 20.

$$20-2-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 20 to get 18.

$$18-2-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 2 from 18 to get 16.

$$16-5-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 5 from 16 to get 11.

$$11-5-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Subtract 5 from 11 to get 6.

$$6-\frac{\frac{\frac{1}{5}}{5}}{5}-5-1\times 256$$

Express \frac{\frac{\frac{1}{5}}{5}}{5} as a single fraction.

$$6-\frac{\frac{1}{5}}{5\times 5}-5-1\times 256$$

Multiply 5 and 5 to get 25.

$$6-\frac{\frac{1}{5}}{25}-5-1\times 256$$

Express \frac{\frac{1}{5}}{25} as a single fraction.

$$6-\frac{1}{5\times 25}-5-1\times 256$$

Multiply 5 and 25 to get 125.

$$6-\frac{1}{125}-5-1\times 256$$

Convert 6 to fraction \frac{750}{125}.

$$\frac{750}{125}-\frac{1}{125}-5-1\times 256$$

Since \frac{750}{125} and \frac{1}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{750-1}{125}-5-1\times 256$$

Subtract 1 from 750 to get 749.

$$\frac{749}{125}-5-1\times 256$$

Convert 5 to fraction \frac{625}{125}.

$$\frac{749}{125}-\frac{625}{125}-1\times 256$$

Since \frac{749}{125} and \frac{625}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{749-625}{125}-1\times 256$$

Subtract 625 from 749 to get 124.

$$\frac{124}{125}-1\times 256$$

Multiply 1 and 256 to get 256.

$$\frac{124}{125}-256$$

Convert 256 to fraction \frac{32000}{125}.

$$\frac{124}{125}-\frac{32000}{125}$$

Since \frac{124}{125} and \frac{32000}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{124-32000}{125}$$

Subtract 32000 from 124 to get -31876.

$$-\frac{31876}{125}$$

Factor

$$-\frac{31876}{125} = -255\frac{1}{125} = -255.008$$