Question
Solve the expression (−3)(−2)(3)(4)(−3)(−2)(3)(4) and choose the appropriate result.
A
363636
B
−72-72−72
C
727272
D
−36-36−36
Answers
GPT-4o mini
Let's solve the expression \((−3)(−2)(3)(4)(−3)(−2)(3)(4)\).
First, group the terms:
\[
(−3)(−2)(3)(4) \text{ and } (−3)(−2)(3)(4)
\]
Now let's calculate \((−3)(−2)(3)(4)\) step by step:
1. Calculate \((−3)(−2)\):
\[
(−3)(−2) = 6
\]
2. Calculate \(6 \cdot 3\):
\[
6 \cdot 3 = 18
\]
3. Calculate \(18 \cdot 4\):
\[
18 \cdot 4 = 72
\]
Now we have:
\[
(−3)(−2)(3)(4) = 72
\]
Since we need to evaluate \((−3)(−2)(3)(4)(−3)(−2)(3)(4)\), we find that:
\[
(−3)(−2)(3)(4)(−3)(−2)(3)(4) = 72 \cdot 72
\]
Next, calculate \(72 \cdot 72\):
\[
72 \cdot 72 = 5184
\]
This value does not exactly match any of the given choices. However, we should check the format of our answer:
- The original expression has four negative factors \((−3)(−2)(−3)(−2)\), which are two pairs of negatives. Each pair gives a positive, so the overall product remains positive.
Since all the calculations confirmed the product:
\[
(−3)(−2)(3)(4)(−3)(−2)(3)(4) = 5184
\]
None of the options correctly represent \(5184\) directly; therefore, it seems that none of the proposed answers A, B, C, or D are correct given the calculations done. If you need further assistance or clarification, please let me know!
First, group the terms:
\[
(−3)(−2)(3)(4) \text{ and } (−3)(−2)(3)(4)
\]
Now let's calculate \((−3)(−2)(3)(4)\) step by step:
1. Calculate \((−3)(−2)\):
\[
(−3)(−2) = 6
\]
2. Calculate \(6 \cdot 3\):
\[
6 \cdot 3 = 18
\]
3. Calculate \(18 \cdot 4\):
\[
18 \cdot 4 = 72
\]
Now we have:
\[
(−3)(−2)(3)(4) = 72
\]
Since we need to evaluate \((−3)(−2)(3)(4)(−3)(−2)(3)(4)\), we find that:
\[
(−3)(−2)(3)(4)(−3)(−2)(3)(4) = 72 \cdot 72
\]
Next, calculate \(72 \cdot 72\):
\[
72 \cdot 72 = 5184
\]
This value does not exactly match any of the given choices. However, we should check the format of our answer:
- The original expression has four negative factors \((−3)(−2)(−3)(−2)\), which are two pairs of negatives. Each pair gives a positive, so the overall product remains positive.
Since all the calculations confirmed the product:
\[
(−3)(−2)(3)(4)(−3)(−2)(3)(4) = 5184
\]
None of the options correctly represent \(5184\) directly; therefore, it seems that none of the proposed answers A, B, C, or D are correct given the calculations done. If you need further assistance or clarification, please let me know!