It seems you're interested in the expression \((\frac{3}{2})(\sqrt[3]{\frac{4}{3}})\). Let's break it down:

1. **\(\frac{3}{2}\)** is a fraction.
2. **\(\sqrt[3]{\frac{4}{3}}\)** represents the cube root of \(\frac{4}{3}\).

To simplify this expression, we can follow these steps:

### Steps to Simplify the Expression

1. **Calculate the Cube Root:**
   - Compute \(\sqrt[3]{\frac{4}{3}}\).

2. **Multiply the Results:**
   - Multiply \(\frac{3}{2}\) by the result from the previous step.

Let's calculate the expression.The expression \((\frac{3}{2})(\sqrt[3]{\frac{4}{3}})\) simplifies to \(\frac{6^{2/3}}{2}\). The decimal approximation of this value is approximately **1.651**.

Would you like further details or have any questions about this expression or related mathematical concepts?

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Here are 8 related questions:

1. How do you calculate the cube root of a fraction?
2. What is the result of \((\frac{3}{2})(\sqrt[3]{8})\)?
3. How can you express a cube root as an exponent?
4. What are some real-life applications of cube roots?
5. How do you simplify expressions involving both fractions and roots?
6. What is the difference between a square root and a cube root?
7. How do you multiply fractions with roots?
8. How can you calculate higher-order roots (like the 4th or 5th root)?

**Tip**: When dealing with roots and fractions, it can be helpful to express the roots as fractional exponents for easier manipulation.

Learn how to simplify the expression (3/2)(^3raiz(4/3)) with a step-by-step guide. This problem involves fractions and cube roots. Explore how to calculate cube roots of fractions and multiply fractions with roots. Suitable for high school students.

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