The expression $5^3 \times 5^3$ involves multiplying powers with the same base. To simplify it, you can use the property of exponents:

$a^m \times a^n = a^{m+n}$

Here, both exponents are 3, and the base is 5. So, applying the property:

$5^3 \times 5^3 = 5^{3+3} = 5^6$

Now, calculate $5^6$:

$5^6 = 15625$

So, $5^3 \times 5^3 = 15625$.

Would you like further details on exponent properties or have any other questions?

Related questions:

1. How do you multiply powers with different bases?
2. What is the value of $5^3 + 5^3$ (sum instead of product)?
3. How do you simplify expressions with negative exponents?
4. Can you explain the difference between multiplying and adding exponents?
5. What is $(5^3)^2$ and how does it differ from $5^3 \times 5^3$?

Tip: When multiplying numbers with the same base, simply add the exponents!