Question

simplify.
24÷3 + 3²·2 - 7
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. 24÷3 + 3²·2 - 7 =

b. the expression is undefined.

Explanation:

Step1: Calculate exponentiation

First, we calculate the exponentiation part \(3^2\). According to the definition of exponentiation, \(3^2 = 3\times3 = 9\). So the expression becomes \(24\div3 + 9\times2 - 7\).

Step2: Perform division and multiplication

Next, we perform the division and multiplication operations from left to right.

• For the division: \(24\div3 = 8\).
• For the multiplication: \(9\times2 = 18\).

Now the expression is \(8 + 18 - 7\).

Step3: Perform addition and subtraction

Finally, we perform the addition and subtraction operations from left to right.

• First, \(8 + 18 = 26\).
• Then, \(26 - 7 = 19\).

Answer:

A. \(24\div3 + 3^2\cdot2 - 7 = \boldsymbol{19}\)