Answer
$-147$
Work Step by Step
We start with the given expression: $-3(4+6\div2)^2$
The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. We follow the order of operations to simplify:
First, we simplify inside the parentheses in the order of operations:
We divide inside the parentheses: $-3(4+3)^2$
Next, we add inside the parentheses: $-3(7)^2$
Next, we can simplify powers: $-3(49)$
Finally, we can multiply: $-147$
