Simplify each expression using the order of operations. SHOW YOUR WORK \( 17+15 \div 3-2^{4} \)

To simplify the expression \( 17 + 15 \div 3 - 2^{4} \), we’ll follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. Start with the exponent: \[ 2^{4} = 16 \] Now the expression becomes: \[ 17 + 15 \div 3 - 16 \] 2. Next, perform the division: \[ 15 \div 3 = 5 \] Now update the expression: \[ 17 + 5 - 16 \] 3. Now, perform the addition: \[ 17 + 5 = 22 \] Update the expression: \[ 22 - 16 \] 4. Finally, carry out the subtraction: \[ 22 - 16 = 6 \] So, the simplified expression is \( 6 \).