Solve frac{1728/2/2/2/2}{2}div2

$$\frac{ \frac{ \frac{ \frac{ \frac{ 1728 }{ 2 } }{ 2 } }{ 2 } }{ 2 } }{ 2 } \div 2$$

Evaluate

$$27$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{1728}{2}}{2}}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{1728}{2}}{2}}{2}}{2}}{2\times 2}$$

Express \frac{\frac{\frac{\frac{1728}{2}}{2}}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{1728}{2}}{2}}{2\times 2}}{2\times 2}$$

Express \frac{\frac{1728}{2}}{2} as a single fraction.

$$\frac{\frac{\frac{1728}{2\times 2}}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{\frac{1728}{4}}{2\times 2}}{2\times 2}$$

Divide 1728 by 4 to get 432.

$$\frac{\frac{432}{2\times 2}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{432}{4}}{2\times 2}$$

Divide 432 by 4 to get 108.

$$\frac{108}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{108}{4}$$

Divide 108 by 4 to get 27.

$$27$$

Factor

$$3^{3}$$