Answer
$256$
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 the expression: $2[(8-4)^5\div8]$
Since there are parentheses inside brackets, we must start with the innermost grouping symbols, which are the parentheses. We simplify inside them by subtraction: $2[4^5\div8]$
We now must simplify what is inside the brackets, in the order of operations:
We start by simplifying exponents: $2[1024\div8]$
Next, we divide: $2[128]$
Finally, we multiply the $2$ by what is inside the brackets: $256$
