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The expression to simplify is:

\[
-5a^0 + (-2a)^0
\]

Let's break it down step by step:

1. **Evaluate each term that involves powers of zero**:
   - Any non-zero number raised to the power of zero is equal to 1.
     - \( a^0 = 1 \)
     - \( (-2a)^0 = 1 \)

2. **Substitute the simplified terms**:
   - The expression becomes:
     \[
     -5(1) + 1 = -5 + 1
     \]

3. **Final simplification**:
   - Now, simplify the terms:
     \[
     -5 + 1 = -4
     \]

Thus, the simplified result of the expression is **-4**.

Would you like more details or have any questions?

Here are 5 follow-up questions to consider:
1. What happens when you raise a variable to a negative exponent?
2. How do you simplify expressions with exponents that are fractions?
3. What is the significance of zero exponents in algebraic expressions?
4. How do parentheses affect the evaluation of exponents?
5. Can you simplify expressions involving powers of negative numbers?

**Tip**: Always remember that any non-zero term raised to the power of zero equals 1!

Learn how to simplify the expression -5a^0 + (-2a)^0. This problem covers key algebraic concepts, including the zero exponent rule and simplifying expressions with exponents. Suitable for students in Grades 8-10.

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