Consider the expression `(3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2)`
List out the terms.

Answer

To solve the problem of listing out the terms in the expression \(\frac{3}{2}x^{2}y - \frac{1}{2}xy^{2} + 6x^{2}y^{2}\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Expression**:
The given expression is:
\[ \frac{3}{2}x^{2}y - \frac{1}{2}xy^{2} + 6x^{2}y^{2} \]

2. **Break Down the Expression into Terms**:
A term in an algebraic expression is a single mathematical expression that can be a number, a variable, or a combination of both. We will separate the expression into its individual terms.

3. **List the Terms**:
- The first term is \(\frac{3}{2}x^{2}y\).
- The second term is \(-\frac{1}{2}xy^{2}\).
- The third term is \(6x^{2}y^{2}\).

4. **Final List of Terms**:
Therefore, the terms in the expression are:
- \(\frac{3}{2}x^{2}y\)
- \(-\frac{1}{2}xy^{2}\)
- \(6x^{2}y^{2}\)

### Summary of the Terms:
1. \(\frac{3}{2}x^{2}y\)
2. \(-\frac{1}{2}xy^{2}\)
3. \(6x^{2}y^{2}\)