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{:("Column A"," ","Column B"),((-3...

`{:("Column A"," ","Column B"),((-3)^2,,(-2)^3):}`

A

If column A is larger

B

If column B is larger

C

If the columns are equal

D

If there is not enough information to decide

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the expressions in both Column A and Column B and then compare their values. **Step 1: Evaluate Column A** - Column A is given as \((-3)^2\). - To evaluate this, we calculate: \[ (-3)^2 = (-3) \times (-3) = 9 \] **Step 2: Evaluate Column B** - Column B is given as \((-2)^3\). - To evaluate this, we calculate: \[ (-2)^3 = (-2) \times (-2) \times (-2) = 4 \times (-2) = -8 \] **Step 3: Compare the values of Column A and Column B** - From our calculations, we have: - Column A = 9 - Column B = -8 - Now we compare the two values: \[ 9 > -8 \] **Conclusion:** - Since 9 (Column A) is greater than -8 (Column B), we conclude that Column A is larger than Column B. **Final Answer:** - Column A is greater than Column B. ---
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