The value of `(1)/(64)` is equal to the square of __________.

Options

A. 0.125
B. 0.135
C. 0.145
D. 0.225

Answer

To find the value of \( \frac{1}{64} \) in terms of the square of a number, we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ x^2 = \frac{1}{64} \]

### Step 2: Take the square root of both sides
To solve for \( x \), we take the square root of both sides:
\[ x = \sqrt{\frac{1}{64}} \]

### Step 3: Simplify the square root
The square root of a fraction can be simplified as follows:
\[ x = \frac{\sqrt{1}}{\sqrt{64}} = \frac{1}{8} \]

### Step 4: Convert to decimal
Now, we convert \( \frac{1}{8} \) to decimal form:
\[ \frac{1}{8} = 0.125 \]

### Conclusion
Thus, the value of \( \frac{1}{64} \) is equal to the square of \( 0.125 \).

### Final Answer
The value of \( \frac{1}{64} \) is equal to the square of **0.125**.

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