https://file.aiquickdraw.com/mathbot/file/1726789539194wbz9x8bk.jpg

The expression in the image is:

\[
x^p \cdot x^{-p} \cdot x^0
\]

To simplify this:

1. **Apply the product of powers rule**: When multiplying powers of the same base, we add the exponents.
   \[
   x^p \cdot x^{-p} = x^{p + (-p)} = x^0
   \]
2. **Combine the remaining term**: We also have \( x^0 \) from the original expression. So the entire expression becomes:
   \[
   x^0 \cdot x^0 = x^0
   \]

Since \( x^0 = 1 \) for any non-zero \( x \), the simplified expression is:

\[
1
\]

Would you like further details or explanations?

Here are some related questions you might find interesting:
1. How does the product of powers rule work for different bases?
2. What happens when you raise any non-zero number to the power of zero?
3. How do negative exponents affect the simplification of expressions?
4. Can you explain the division rule of exponents?
5. How do exponent rules apply when variables are combined with constants?

**Tip:** Always simplify each power separately before combining terms when working with exponents.

Simplify the expression x^p * x^-p * x^0.

Learn how to simplify the expression x^p * x^-p * x^0 by applying the product of powers rule and the zero exponent rule. This problem covers key algebraic concepts and is suitable for students in Grades 8-10.

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