Question

Use the order of operations to simplify 12−2^3+4÷2+2^4.(1 point)

Answer 1

To simplify this expression using the order of operations, we follow the steps in the following order:
1. Parentheses (if any)
2. Exponents (i.e. powers and square roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's apply these rules to the given expression:

12 - 2^3 + 4 ÷ 2 + 2^4

First, we evaluate the exponentiation: 2^3 = 8 and 2^4 = 16.

Next, we perform the division: 4 ÷ 2 = 2.

Now, let's substitute these values back into the equation:

12 - 8 + 2 + 16.

Next, we do the addition and subtraction from left to right:

12 - 8 + 2 + 16 = 4 + 2 + 16 = 6 + 16 = 22.

Therefore, the simplified form of the expression 12 - 2^3 + 4 ÷ 2 + 2^4 is 22.