Question

evaluate. \\(4 + 4^2 \div 2\\)

Explanation:

Step1: Calculate the exponentiation

First, we handle the exponentiation part \(4^2\). By the definition of exponentiation, \(4^2 = 4\times4=16\). So the expression becomes \(4 + 16\div2\).

Step2: Perform the division

Next, we do the division operation. According to the order of operations (PEMDAS/BODMAS), division comes before addition. So we calculate \(16\div2 = 8\). Now the expression is \(4+8\).

Step3: Perform the addition

Finally, we add the two numbers. \(4 + 8=12\).

Answer:

12