To solve the expression \((\frac{3}{2} + 1)^3\), follow these steps:

1. **Simplify the expression inside the parentheses**:
   \[
   \frac{3}{2} + 1 = \frac{3}{2} + \frac{2}{2} = \frac{5}{2}
   \]

2. **Raise the simplified expression to the power of 3**:
   \[
   \left(\frac{5}{2}\right)^3 = \frac{5^3}{2^3} = \frac{125}{8}
   \]

So, the value of \((\frac{3}{2} + 1)^3\) is \(\frac{125}{8}\).

Would you like to see the steps in more detail, or do you have any questions? 

Here are some related questions you might be interested in:
1. What is the value of \((\frac{5}{2} - 1)^3\)?
2. How do you simplify \((\frac{3}{2} + 1)^2\)?
3. What is the cube of \(\frac{5}{3}\)?
4. How do you convert \(\frac{125}{8}\) to a decimal?
5. What is \(\left(\frac{7}{3} + \frac{2}{3}\right)^3\)?

**Tip**: When working with fractions, always try to simplify the expression inside the parentheses before applying exponents.

Learn how to solve the expression (3/2 + 1)^3 with a detailed step-by-step solution. This problem involves exponents and fractions, demonstrating the power of a fraction formula. Suitable for students in Grades 7-9.

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