Answer
$4.5$
Work Step by Step
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. Finally, we add and subtract from left to right.
Start with given expression: $(6^2-3^3)\div2$
Start with simplifying inside parentheses (we follow the order of operations inside the parentheses as well).
Simplify exponents inside parentheses: $(36-27)\div2$
Subtract inside parentheses: $9\div2$
Finally, we divide: $4.5$