The expression to simplify is the same: $5^{-2} \cdot 5^4 \cdot 5^0$.

Using the properties of exponents for multiplication (adding exponents of the same base):

$5^{-2} \cdot 5^4 \cdot 5^0 = 5^{(-2 + 4 + 0)}$

Calculating the exponent:

$-2 + 4 + 0 = 2$

So:

$5^{-2} \cdot 5^4 \cdot 5^0 = 5^2$

Finally, we calculate $5^2$:

$5^2 = 25$

Final Answer: $25$

Would you like further clarification, or do you have any questions?

Here are five related questions to deepen your understanding:

1. How would you simplify $2^{-3} \cdot 2^5$?
2. What is the result of any base raised to the power of zero?
3. How do you simplify an expression like $6^3 \cdot 6^{-1}$?
4. What happens if you multiply powers with different bases but the same exponent?
5. How can you simplify $10^{-2} \cdot 10^2$?

Tip: Remember, multiplying terms with the same base means adding exponents, and dividing terms with the same base means subtracting exponents.