Question

Which expression is NOT equivalent to: (3x(4))(0)
(1 point)
Responses

3x(2)/3x⋅x
3x23x⋅x

3x(2)⋅(1/3)x(−2)
3 times x squared times 1 third x to the negative 2 power

x(4)⋅0x(3)
x to the 4th power times 0 x cubed

(974x(12)y)(0)

Answer 1

To determine which expression is NOT equivalent to \((3x(4))(0)\), we can simplify this expression first. The expression involves multiplying by zero, which results in zero. Thus:

\[
(3x(4))(0) = 0
\]

Now, let's evaluate each of the given responses to see if any do not simplify to zero.

1. **\(3x(2)/3x\cdot x\)**:
- This simplifies to \((3x^2)/(3x^2) = 1\) (assuming \(x \neq 0\)). This does NOT equal zero.

2. **\(3x(2)\cdot(1/3)x(−2)\)**:
- This simplifies to \(3x^2 \cdot (1/3)x^{-2} = x^2 \cdot x^{-2} = 1\). This does NOT equal zero.

3. **\(x(4)\cdot0x(3)\)**:
- This expression involves \(x^4 \cdot 0\cdot x^3 = 0\). This DOES equal zero.

4. **\((974x(12)y)(0)\)**:
- This expression involves multiplying by zero: \( (974x^{12}y) \cdot 0 = 0\). This DOES equal zero.

From these evaluations, the expressions \(3x(2)/3x\cdot x\) and \(3x(2)\cdot(1/3)x(−2)\) both simplify to \(1\) and are therefore NOT equivalent to zero.

**Conclusion**: Any of the first two options is NOT equivalent to \((3x(4))(0)\). If only one choice must be picked, you could choose:

**\(3x(2)/3x\cdot x\)** as a response.