Question

evaluate the expression $8^2 \cdot (2 + 6) \div 4$. first, evaluate the groups. $8^2 \cdot (2 + 6) \div 4 = \square \cdot ? \div 4$

Explanation:

Step1: Evaluate the exponent

First, we calculate \(8^2\). By the definition of exponentiation, \(8^2 = 8\times8 = 64\).

Step2: Evaluate the parentheses

Next, we calculate the expression inside the parentheses \((2 + 6)\). Adding 2 and 6 gives \(2+6=8\).

So the first box should be filled with the result of \(8^2\) which is 64, and the "?" should be filled with the result of \((2 + 6)\) which is 8. But since the question is about what goes in the first box (the one from \(8^2\)):

Answer:

64