The problem asks us to evaluate the expression $3pq^3r^3$ when $p=\frac{2}{3}$, $q=-2$, and $r=-1$.

1. Problem Description

The problem asks us to evaluate the expression $3pq^3r^3$ when $p=\frac{2}{3}$, $q=-2$, and $r=-1$.

2. Solution Steps

First, substitute the given values into the expression:

$3pq^3r^3 = 3 \cdot (\frac{2}{3}) \cdot (-2)^3 \cdot (-1)^3$

Next, evaluate the powers:

$(-2)^3 = -2 \cdot -2 \cdot -2 = -8$

$(-1)^3 = -1 \cdot -1 \cdot -1 = -1$

Now, substitute these values back into the expression:

$3 \cdot (\frac{2}{3}) \cdot (-8) \cdot (-1)$

Multiply the terms:

$3 \cdot (\frac{2}{3}) = 2$

$(-8) \cdot (-1) = 8$

So the expression becomes:

$2 \cdot 8$

Finally, multiply:

$2 \cdot 8 = 16$

3. Final Answer

The final answer is 16.