Find the value of `(-4)^(2) div (2)^(5)`.

Answer

To solve the expression \((-4)^2 \div (2)^5\), we can follow these steps:

### Step 1: Calculate \((-4)^2\)
The expression \((-4)^2\) means we are squaring \(-4\). Squaring a negative number results in a positive number because:
\[ (-4) \times (-4) = 16 \]
So, \((-4)^2 = 16\).

### Step 2: Calculate \((2)^5\)
Next, we calculate \(2^5\). This means multiplying \(2\) by itself \(5\) times:
\[ 2 \times 2 \times 2 \times 2 \times 2 = 32 \]
So, \(2^5 = 32\).

### Step 3: Divide the results
Now we need to divide the result of \((-4)^2\) by the result of \((2)^5\):
\[ 16 \div 32 \]
This can be simplified:
\[ 16 \div 32 = \frac{16}{32} = \frac{1}{2} \]

### Final Answer
Thus, the value of \((-4)^2 \div (2)^5\) is:
\[ \frac{1}{2} \]