The expression given in the image is:

$(-c)^3 \cdot (-c)^5$

To simplify this expression, we can use the property of exponents for multiplication with the same base:

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

Here, the base is $-c$, and the exponents are $3$ and $5$. Applying the property:

$(-c)^3 \cdot (-c)^5 = (-c)^{3+5} = (-c)^8$

Thus, the simplified form of the expression is:

$(-c)^8$

Would you like further clarification on any steps?

Here are some related questions to expand on this topic:

1. How would this change if one of the exponents were negative?
2. What if the base was a positive value instead of $-c$?
3. How do exponent rules change with addition and division?
4. What is the result if we take the square root of the final expression?
5. Can you expand $(-c)^8$ to understand how the sign of $c$ affects the result?

Tip: Remember that when multiplying powers with the same base, you simply add the exponents.