The expression \( 25 \times 5^{1/3} \) represents the product of 25 and the cube root of 5. 

To calculate this:

1. **Find \( 5^{1/3} \):**
   The cube root of 5, or \( 5^{1/3} \), is approximately \( 1.710 \).

2. **Multiply \( 25 \) by \( 5^{1/3} \):**
   Now, multiply \( 25 \times 1.710 \).

Let's calculate this:The value of \( 25 \times 5^{1/3} \) is approximately \( 42.75 \).

Would you like to explore this further or clarify any part of the process?

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**Relative Questions:**
1. How do you estimate cube roots without a calculator?
2. What are the steps for solving an equation involving fractional exponents?
3. Can this expression be simplified further algebraically?
4. How do fractional exponents relate to geometric shapes, like volumes?
5. What are some applications of cube roots in real-life problems?

**Tip:** When dealing with cube roots, remember that cube roots can result in both positive and negative values for real numbers, unlike square roots, which are always positive for real numbers.

Learn how to calculate 25 times the cube root of 5 step-by-step. Understand the concept of cube roots and multiplication in mathematical expressions. Suitable for high school students.

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