Let's solve the expression $16 \div 4 \times 3 + 4^2$ using the correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step-by-Step:

1. Exponents:
   $4^2 = 16$
   Now the expression becomes: $16 \div 4 \times 3 + 16$

2. Multiplication and Division (from left to right):

   • First: $16 \div 4 = 4$
   • Next: $4 \times 3 = 12$

   Now the expression is: $12 + 16$

3. Addition:
   $12 + 16 = 28$

Final Answer:

$28$

Would you like more details or further questions? Here are related topics to explore:

1. What is PEMDAS, and why does the order matter?
2. How do parentheses change the result of similar expressions?
3. Can the order of multiplication and division affect the answer?
4. What happens if negative numbers or fractions are involved?
5. How would this expression look with variables?

Tip: Always perform multiplication and division from left to right, even though they are on the same level in PEMDAS.