To get 16 using the numbers 2, 2, 0, and 5 exactly once, we can use basic mathematical operations like addition, subtraction, multiplication, division, or exponentiation.

Here is one way to do it:

$(5 \times 2) + (2 + 0) = 16$

Breaking it down:

1. $5 \times 2 = 10$
2. $2 + 0 = 2$
3. $10 + 2 = 16$

Thus, $(5 \times 2) + (2 + 0) = 16$.

Would you like further details or more possible solutions? Feel free to ask!

Here are some related questions:

1. How can we use only addition and subtraction to form 16 with the numbers 2, 2, 0, and 5?
2. Can you generate 16 using other operations like square roots or factorials?
3. What are some interesting patterns that emerge when combining small numbers like 2, 2, 0, and 5?
4. How would the problem change if we were allowed to use exponentiation or logarithms?
5. Can you explore the same kind of puzzle using different sets of numbers?

Tip: Experimenting with multiplication and addition is often a quick route to reach target numbers. Keep the number 0 in mind—it can be a helpful way to adjust operations without changing the sum!