#### Answer

$5$

#### 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. We use these rules to simplify the expression.
Start with the expression: $10-(2^3+4)\div3-1$
First, we simplify inside the parentheses in order of operations:
We start with the exponent that is in the parentheses: $10-(8+4)\div3-1$
Next, we add inside the parentheses: $10-(12)\div3-1$
Next, we divide: $10-4-1$
Finally, we subtract from left to right: $5$