The expression shown in the image is $5^3 \cdot 5^2$.

To simplify this, you can use the rule of exponents: $a^m \cdot a^n = a^{m+n}$ In this case, $a = 5$, $m = 3$, and $n = 2$. Therefore:

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

Now calculate $5^5$:

$5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125$

Thus, $5^3 \cdot 5^2 = 3125$.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How would you simplify $2^4 \cdot 2^3$?
2. What is the general rule for multiplying powers with the same base?
3. Can you apply this exponent rule to division as well? How?
4. What is $6^3 \cdot 6^2$?
5. How would you simplify $7^4 \cdot 7^3$?

Tip: When multiplying numbers with the same base, remember that you simply add the exponents.