Solve (√16 - 2² + 6) ÷ 2²: Order of Operations Challenge

Let's solve the expression given in the problem: $(\sqrt{16}-2^2+6):2^2=$

We need to follow the Order of Operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This ensures that we perform calculations in the correct order:

• $\sqrt{16}$ simplifies to $4$ because the square root of 16 is 4.
• Next, evaluate $2^2$, which equals $4$.
• Replace these results back into the expression: $(4-4+6):4$.

Now let's go step-by-step through the simplified expression:

• Calculate inside the parentheses: $4 - 4 + 6$.
• $4-4$ equals $0$.
• Then, $0+6$ equals $6$.
• We now have $6:4$, which denotes division.
• Perform the division: $6 \div 4 = 1.5$.

Thus, the solution to the expression is: $1.5$.