The expression to simplify is:

$5^2 \times 5^3$

Since the bases are the same, you can add the exponents when multiplying powers:

$5^2 \times 5^3 = 5^{2+3} = 5^5$

Thus, the simplified expression is:

$5^5$

Would you like further details or have any questions about this solution?

Here are five related questions to explore:

1. How do you simplify expressions with different bases?
2. What is the value of $5^5$?
3. How do you simplify $5^2 \times 3^2$?
4. What are the rules for exponents when dividing powers with the same base?
5. How do you handle negative exponents?

Tip: When multiplying powers with the same base, remember to add the exponents!