Solve 1%%%%%%%%%%

$$1 \% \% \% \% \% \% \% \% \% \%$$

Evaluate

$$\frac{1}{100000000000000000000}= 10^{-20}$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100\times 100}$$

Express \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100}}{100}}{100\times 100}}{100\times 100}$$

Express \frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100}}{100\times 100}}{100\times 100}}{100\times 100}$$

Express \frac{\frac{\frac{\frac{1}{100}}{100}}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{1}{100}}{100}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}$$

Express \frac{\frac{1}{100}}{100} as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{1}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{\frac{1}{10000}}{100\times 100}}{100\times 100}}{100\times 100}}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{\frac{1}{10000}}{10000}}{100\times 100}}{100\times 100}}{100\times 100}$$

Express \frac{\frac{1}{10000}}{10000} as a single fraction.

$$\frac{\frac{\frac{\frac{1}{10000\times 10000}}{100\times 100}}{100\times 100}}{100\times 100}$$

Multiply 10000 and 10000 to get 100000000.

$$\frac{\frac{\frac{\frac{1}{100000000}}{100\times 100}}{100\times 100}}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{\frac{1}{100000000}}{10000}}{100\times 100}}{100\times 100}$$

Express \frac{\frac{1}{100000000}}{10000} as a single fraction.

$$\frac{\frac{\frac{1}{100000000\times 10000}}{100\times 100}}{100\times 100}$$

Multiply 100000000 and 10000 to get 1000000000000.

$$\frac{\frac{\frac{1}{1000000000000}}{100\times 100}}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{\frac{1}{1000000000000}}{10000}}{100\times 100}$$

Express \frac{\frac{1}{1000000000000}}{10000} as a single fraction.

$$\frac{\frac{1}{1000000000000\times 10000}}{100\times 100}$$

Multiply 1000000000000 and 10000 to get 10000000000000000.

$$\frac{\frac{1}{10000000000000000}}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{\frac{1}{10000000000000000}}{10000}$$

Express \frac{\frac{1}{10000000000000000}}{10000} as a single fraction.

$$\frac{1}{10000000000000000\times 10000}$$

Multiply 10000000000000000 and 10000 to get 100000000000000000000.

$$\frac{1}{100000000000000000000}$$

Factor

$$\frac{1}{2 ^ {20} \cdot 5 ^ {20}} = 1 \times 10^{-20}$$