Question

simplify.
\\((2 + 4^2) \div 9 \cdot 6^2\\)
select the correct choice below and, if necessary, fill in the answer box to complete y
a. \\((2 + 4^2) \div 9 \cdot 6^2 = \square\\)
b. the answer is undefined.

Explanation:

Step1: Calculate exponentiation

First, calculate the exponents in the expression. We have \(4^2 = 16\) and \(6^2 = 36\). So the expression becomes \((2 + 16)\div9\times36\).

Step2: Calculate inside the parentheses

Next, calculate the value inside the parentheses: \(2 + 16 = 18\). Now the expression is \(18\div9\times36\).

Step3: Perform division and multiplication

According to the order of operations (from left to right for division and multiplication), first do the division: \(18\div9 = 2\). Then do the multiplication: \(2\times36 = 72\).

Answer:

\(72\)