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To evaluate \(abc^2\) given \(a = -3\), \(b = 6\), and \(c = -8\), we substitute these values into the expression:

\[
abc^2 = (-3)(6)((-8)^2)
\]

### Step 1: Evaluate \(c^2\)
\[
(-8)^2 = 64
\]

### Step 2: Multiply the results
\[
abc^2 = (-3)(6)(64)
\]

### Step 3: Calculate step-by-step
- \((-3)(6) = -18\)
- \((-18)(64) = -1152\)

### Final Answer:
\[
abc^2 = -1152
\]

Let me know if you want further clarification or details. 

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Here are some related questions to deepen your understanding:

1. What happens if one of the variables is zero in the expression \(abc^2\)?
2. How does the exponent affect the result when the base is negative, such as \((-8)^2\)?
3. What is the difference between evaluating \(abc^2\) and \(a^2b^2c^2\)?
4. How would the result change if \(c\) were a positive value?
5. Can you write \(abc^2\) in terms of powers and solve it for any general values of \(a, b, c\)?

**Tip:** Always simplify exponents first before handling the multiplications to avoid errors.

Evaluate abc^2 if a = -3, b = 6, and c = -8.

Learn how to evaluate the expression abc^2 step-by-step when a = -3, b = 6, and c = -8. This problem covers key algebraic concepts, including the use of exponents and multiplication. Suitable for students in Grades 6-8.

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