### Instruction: Find the average value of $0$, $2z$, $4z$, $8z$, and $16z$.### Response: I need to find the sum of these numbers and divide by the number of numbers.
The sum is $0 + 2z + 4z + 8z + 16z = 30z$.
There are five numbers, so I divide by $5$.
The average value is $\frac{30z}{5} = 6z$.