which of the following is not equal to `((-3)/(4))^4`?

Options

A. `((-3)^4)/(4^4)`
B. `(3^4)/((-4)^4)`
C. `-((3^3)/(4^4))`
D. `((-3)/(4))^(2)xx ((-3)/(4))^(2)`

Answer

To solve the question "which of the following is not equal to \((-3/4)^4\)", we will evaluate each option provided and determine which one does not equal \((-3/4)^4\).

### Step-by-Step Solution:

1. **Calculate \((-3/4)^4\)**:
\[ (-3/4)^4 = \frac{(-3)^4}{4^4} \]
\[ = \frac{81}{256} \]

2. **Evaluate Each Option**:
- **Option A**: \((-3/4)^4\)
\[ = \frac{81}{256} \quad \text{(This is equal)} \]
- **Option B**: \((3/4)^4\)
\[ = \frac{3^4}{4^4} = \frac{81}{256} \quad \text{(This is equal)} \]
- **Option C**: \((-3)^4 / (4^2 \cdot 4^2)\)
\[ = \frac{81}{16 \cdot 16} = \frac{81}{256} \quad \text{(This is equal)} \]
- **Option D**: \((3^3)\)
\[ = 27 \quad \text{(This is not equal to } \frac{81}{256}\text{)} \]

3. **Conclusion**:
The option that is not equal to \((-3/4)^4\) is **Option D: \(3^3\)**.

### Final Answer:
**Option D** is not equal to \((-3/4)^4\).