Answer
$36$
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. We use these rules to simplify the expression.
Start with expression: $3[(4-2)^5-20]$
Since there are parentheses inside brackets, we must simplify the innermost grouping symbol first (the parentheses). We do this by subtraction:
$3[(2)^5-20]$
Now, we simplify what is in the brackets in the order of operations.
We start with the exponents: $3[32-20]$
Then, we subtract to simplify the brackets: $3[12]$
Finally, we multiply $3$ by what is in the brackets: $36$
