Solve frac{frac{frac{2/2/2/2/2}{2}}{frac{2}{2}}}{2}

$$\frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ 2 }{ 2 } }{ 2 } }{ 2 } }{ 2 } }{ 2 } }{ \frac{ 2 }{ 2 } } }{ 2 }$$

Evaluate

$$\frac{1}{32}=0.03125$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{2}}{2}}{2}}{\frac{2}{2}}}{2}$$

Divide 2 by 2 to get 1.

$$\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{2}}{2}}{2}}{1}}{2}$$

Express \frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{2}}{2}}{2}}{1}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{1}{2}}{2}}{2}}{2}}{2}$$

Express \frac{\frac{\frac{\frac{1}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{1}{2}}{2}}{2\times 2}}{2}$$

Express \frac{\frac{1}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{1}{2\times 2}}{2\times 2}}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{\frac{1}{4}}{2\times 2}}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{\frac{1}{4}}{4}}{2}$$

Express \frac{\frac{1}{4}}{4} as a single fraction.

$$\frac{\frac{1}{4\times 4}}{2}$$

Multiply 4 and 4 to get 16.

$$\frac{\frac{1}{16}}{2}$$

Express \frac{\frac{1}{16}}{2} as a single fraction.

$$\frac{1}{16\times 2}$$

Multiply 16 and 2 to get 32.

$$\frac{1}{32}$$

Factor

$$\frac{1}{2 ^ {5}} = 0.03125$$