The expression in the image is:

$7^3 \cdot 7^5 \cdot 7^2$

To simplify, we can use the rule of exponents that states:

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

So, adding the exponents:

$7^3 \cdot 7^5 \cdot 7^2 = 7^{3+5+2} = 7^{10}$

Thus, the simplified expression is:

$7^{10}$

Do you need further details or have any questions?

Here are some related questions for practice:

1. What is the value of $7^{10}$?
2. How would you simplify $7^3 \cdot 7^{-2}$?
3. What is the general formula for multiplying powers with the same base?
4. How would the expression change if it included division, such as $\frac{7^3 \cdot 7^5}{7^2}$?
5. How do exponent rules apply when the base is negative?

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