https://file.aiquickdraw.com/mathbot/file/1726542773729hnvr9des.jpg

The expression given is:

\[
-2^0 + (-8)^0
\]

### Step-by-step simplification:

1. **Evaluate \( 2^0 \)**:
   Any non-zero number raised to the power of 0 is 1. So:
   \[
   2^0 = 1
   \]
   Therefore, \(-2^0 = -1\).

2. **Evaluate \( (-8)^0 \)**:
   Again, any non-zero number raised to the power of 0 is 1, regardless of whether it is negative or positive. So:
   \[
   (-8)^0 = 1
   \]

3. **Combine the results**:
   \[
   -1 + 1 = 0
   \]

Thus, the simplified expression is:

\[
\boxed{0}
\]

Would you like more details on any part of this process?

### Related Questions:
1. What is the general rule for any number raised to the power of 0?
2. How does the placement of a negative sign affect exponentiation?
3. Why is \((-8)^0 = 1\) rather than -1?
4. Can zero raised to any power be simplified the same way?
5. What happens when the exponent is negative instead of zero?

**Tip**: Remember, any non-zero number raised to the power of zero always equals 1, regardless of its sign.

Learn how to simplify the expression -2^0 + (-8)^0 step by step. This problem involves exponentiation rules, showing that any non-zero number raised to the power of 0 equals 1. Ideal for Grades 6-8 students studying algebraic concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation