We can simplify the expression \( 5^{0} \cdot 5^{-5} \cdot 5^5 \) by using the properties of exponents.

### Step-by-Step Solution:
1. **Start with the properties of exponents**:  
   The rule \( a^m \cdot a^n = a^{m+n} \) allows us to add the exponents when multiplying powers with the same base.

2. **Simplify the exponents**:
   - \( 5^0 = 1 \) (since any number raised to the power of 0 is 1).
   - So the expression becomes:
     \[
     1 \cdot 5^{-5} \cdot 5^5
     \]
   
3. **Combine the exponents**:
   - Now we use the property \( 5^{-5} \cdot 5^5 = 5^{-5+5} = 5^0 \).
   - This simplifies to:
     \[
     5^0 = 1
     \]

Thus, the entire expression simplifies to:
\[
1 \cdot 1 = 1
\]

### Final Answer:
\[
5^{0} \cdot 5^{-5} \cdot 5^5 = 1
\]

Would you like further details or have any questions? 

Here are 5 related questions to explore further:
1. What is the general rule for multiplying powers with the same base?
2. How would the result change if one of the exponents was different?
3. What happens if you multiply \( 5^3 \cdot 5^{-3} \)?
4. How does the property \( a^0 = 1 \) apply to negative numbers?
5. Can you explain why \( 5^{-5} \) is the reciprocal of \( 5^5 \)?

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

This page covers the step-by-step solution to simplify the expression 5^0 \cdot 5^{-5} \cdot 5^5. Learn about the laws of exponents, including the product of powers rule and the zero exponent rule. Suitable for students in Grades 6-8.

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