Question

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

3x2⋅(13)x−2
3 times x squared times 1 third x to the negative 2 power

(974x12y)0
open paren 974 x to the 12th power y close paren to the 0 power

3x23x⋅x
3x23x⋅x

x4⋅0x3

Answer 1

To determine which expression is NOT equivalent to \((3x^4)^0\), we need to understand that any non-zero expression raised to the power of zero is equal to 1.

1. \((3x^4)^0 = 1\)

Now let's analyze each response:

1. **\(3x^2 \cdot (1/3)x^{-2}\)**:
\[
= 1 \cdot x^0 = 1
\]
(This is equivalent to 1)

2. **\((974x^{12}y)^0\)**:
\[
= 1
\]
(This is also equivalent to 1)

3. **\(3x^2 \cdot 3x \cdot x\)**:
\[
= 3 \cdot x^2 \cdot 3 \cdot x \cdot x = 9x^4
\]
(This is NOT equivalent to 1)

4. **\(x^4 \cdot 0x^3\)**:
\[
= x^4 \cdot 0 = 0
\]
(This is NOT equivalent to 1)

So, the two options that are NOT equivalent to \( (3x^4)^0 = 1 \) are \( 3x^2 \cdot 3x \cdot x \) and \( x^4 \cdot 0x^3 \).

However, **the question asks for the expression that is NOT equivalent**, and comparing the traditional forms:

**The final answer:**
- **\(3x^2 \cdot 3x \cdot x\)** is NOT equivalent to \((3x^4)^0\).