Solve 4096div2div2div2div2div2div2div2div2div2

$$4096 \div 2 \div 2 \div 2 \div 2 \div 2 \div 2 \div 2 \div 2 \div 2$$

Evaluate

$$8$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2}}{2}}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2}}{2}}{2}}{2}}{2\times 2}$$

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2}}{2}}{2\times 2}}{2\times 2}$$

Express \frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{4096}{2}}{2}}{2}}{2\times 2}}{2\times 2}}{2\times 2}$$

Express \frac{\frac{\frac{4096}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{4096}{2}}{2\times 2}}{2\times 2}}{2\times 2}}{2\times 2}$$

Divide 4096 by 2 to get 2048.

$$\frac{\frac{\frac{\frac{2048}{2\times 2}}{2\times 2}}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{\frac{\frac{2048}{4}}{2\times 2}}{2\times 2}}{2\times 2}$$

Divide 2048 by 4 to get 512.

$$\frac{\frac{\frac{512}{2\times 2}}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{\frac{512}{4}}{2\times 2}}{2\times 2}$$

Divide 512 by 4 to get 128.

$$\frac{\frac{128}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{128}{4}}{2\times 2}$$

Divide 128 by 4 to get 32.

$$\frac{32}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$8$$

Factor

$$2^{3}$$