https://r2.erweima.ai/mathbot/image/1726763357314n3zdu5kb.jpg

The expression in the image is:

\[
-16 - 2^3 \div 4
\]

Let's break this down step by step, following the order of operations (PEMDAS/BODMAS rules):

1. **Exponentiation**: \(2^3 = 8\)
   
   Now, the expression becomes:
   \[
   -16 - 8 \div 4
   \]

2. **Division**: \(8 \div 4 = 2\)
   
   So, the expression now is:
   \[
   -16 - 2
   \]

3. **Subtraction**: \(-16 - 2 = -18\)

Thus, the final value of the expression is:

\[
\boxed{-18}
\]

Would you like more details or have any other questions?

Here are five questions related to this topic:
1. How do order of operations rules apply to more complex expressions?
2. Can you solve similar problems involving more exponents?
3. What happens if parentheses are introduced into expressions like this one?
4. How does division by zero affect an equation?
5. Can negative exponents be used in calculations like these?

**Tip**: Always resolve exponents and roots before performing multiplication, division, addition, or subtraction in any mathematical expression!

Learn how to simplify the expression -16 − 2^3 ÷ 4 by following the order of operations (PEMDAS/BODMAS). This step-by-step breakdown covers exponentiation, division, and subtraction, suitable for students in Grades 6-8.

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