Solve 1000div2div2div2div2div2=

$$1000 \div 2 \div 2 \div 2 \div 2 \div 2=$$

Evaluate

$$\frac{125}{4}=31.25$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{1000}{2}}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{1000}{2}}{2}}{2}}{2\times 2}$$

Express \frac{\frac{\frac{1000}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{1000}{2}}{2\times 2}}{2\times 2}$$

Divide 1000 by 2 to get 500.

$$\frac{\frac{500}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{500}{4}}{2\times 2}$$

Divide 500 by 4 to get 125.

$$\frac{125}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{125}{4}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {2}} = 31\frac{1}{4} = 31.25$$