Question

Apply the order of operations to simplify each expression. 4. 2^4 – 8 × 2 ÷ 4 = ___

a-0
b-12
c-16
d-4

Answer 1

To simplify the expression, first calculate the exponent (2^4), then perform the multiplication and division (8 x 2 ÷ 4), and finally subtract the final values (16 - 4). The result is 12.

Step-by-step explanation:

To apply the order of operations to simplify the expression 24 − 8 × 2 ÷ 4, we must follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, compute the exponent: 24 = 16. Next, perform the multiplication and division from left to right: 8 × 2 = 16 and then 16 ÷ 4 = 4. Finally, subtract the result of the multiplication and division from the result of the exponentiation: 16 − 4 = 12.

So, the simplified expression is 12, which matches answer choice (b).