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The given expression is:

\[
4 - \frac{(-8)^2}{4}
\]

### Step-by-step evaluation:

1. **Exponentiation**: First, calculate the square of \(-8\):
   \[
   (-8)^2 = 64
   \]
   
2. **Division**: Now, divide 64 by 4:
   \[
   \frac{64}{4} = 16
   \]
   
3. **Subtraction**: Finally, subtract 16 from 4:
   \[
   4 - 16 = -12
   \]

### Final Answer:
\[
-12
\]

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Evaluate \(5 - (6^2) \div 3\).
2. Simplify \(10 - (2^3) + 4\).
3. Calculate \((-9)^2 \div 3 + 7\).
4. Solve \(6 - \frac{(5)^2}{2}\).
5. Evaluate \(12 - (4^3) \div 8\).

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when solving expressions.

Learn how to evaluate the expression 4 - (-8)^2 ÷ 4 step-by-step using exponentiation, division, and subtraction. Understand how to apply the order of operations (PEMDAS) for middle school math students.

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