## Solving the Equation (8x)^2 = 1

This equation involves a square and a constant, making it a straightforward problem to solve. Let's break down the steps:

### 1. Expanding the Equation

First, we expand the left side of the equation:

(8x)^2 = 64x^2

Now, the equation becomes:

64x^2 = 1

### 2. Isolating the Variable

To isolate the variable 'x', we divide both sides of the equation by 64:

x^2 = 1/64

### 3. Taking the Square Root

Next, we take the square root of both sides of the equation:

x = ±√(1/64)

### 4. Simplifying the Solution

The square root of 1/64 is 1/8. Therefore, we have two possible solutions:

x = 1/8 or x = -1/8

### Conclusion

Therefore, the solutions to the equation (8x)^2 = 1 are **x = 1/8** and **x = -1/8**.