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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?

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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.

Learn how to simplify the expression 5^-2 * 5^4 * 5^0 using exponent properties. This solution covers the addition of exponents and the concept of zero exponents. Suitable for students in Grades 7-9.

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