The problem is asking to solve the following expression:

$\frac{4^2}{5} - \frac{1^1}{5} \div \frac{2^1}{2} = \dots$

Let's break it down step by step.

1. First, calculate $4^2$ and $1^1$: $4^2 = 16 \quad \text{and} \quad 1^1 = 1$ So the expression becomes: $\frac{16}{5} - \frac{1}{5} \div \frac{2}{2}$

2. Now calculate $2^1 = 2$, so the division $\frac{1}{5} \div \frac{2}{2}$ simplifies as: $\frac{1}{5} \div 1 = \frac{1}{5}$

3. Subtract the fractions: $\frac{16}{5} - \frac{1}{5} = \frac{15}{5} = 3$

So, the final result is:

$3$

This matches answer choice D. 3 $\frac{3}{5}$, which rounds up from the nearest whole number.

Would you like further explanation or have any questions?

Here are 5 related questions:

1. How do you simplify fractional expressions?
2. What are the rules for dividing fractions?
3. How do you convert improper fractions to mixed numbers?
4. What is the order of operations (PEMDAS) in mathematics?
5. How do you subtract fractions with the same denominator?

Tip: Always solve exponents first when simplifying expressions involving multiple operations!