The problem is to simplify the expression $ -(\frac{7}{c})^2 $.

1. Problem Description

The problem is to simplify the expression $-(\frac{7}{c})^2$.

2. Solution Steps

First, we apply the exponent to both the numerator and the denominator inside the parentheses:

$(\frac{a}{b})^n = \frac{a^n}{b^n}$

So, $(\frac{7}{c})^2 = \frac{7^2}{c^2}$.

We know that $7^2 = 7 \times 7 = 49$. Thus, we have:

$(\frac{7}{c})^2 = \frac{49}{c^2}$.

Now we consider the negative sign outside the parentheses:

$-(\frac{7}{c})^2 = -(\frac{49}{c^2}) = -\frac{49}{c^2}$.

3. Final Answer

$-\frac{49}{c^2}$