To solve the expression \((0.528)^{\frac{2}{3}}\), we'll follow these steps:

1. **Evaluate the exponent**: 
   \[
   (0.528)^{\frac{2}{3}} = \sqrt[3]{(0.528)^2}
   \]

2. **Square the base**: 
   \[
   0.528^2 = 0.278784
   \]

3. **Find the cube root**:
   \[
   \sqrt[3]{0.278784} \approx 0.6465
   \]

Thus, \((0.528)^{\frac{2}{3}} \approx 0.6465\).

Would you like further details or have any questions?

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Here are 8 related questions:

1. What is \((0.8)^{\frac{2}{3}}\)?
2. How do you calculate \((2.5)^{\frac{2}{3}}\)?
3. Can you solve \((4)^{\frac{1}{3}}\)?
4. What is \((0.528)^{\frac{3}{2}}\)?
5. How do you evaluate \((5)^{\frac{2}{5}}\)?
6. What is the cube root of 0.125?
7. How do you simplify \((x^3)^{\frac{2}{3}}\)?
8. What is the value of \(0.528^{\frac{5}{3}}\)?

**Tip:** When dealing with fractional exponents, remember that the numerator represents a power, and the denominator represents a root.

Learn how to calculate (0.528)^(2/3) with a detailed step-by-step solution. This problem involves evaluating a fractional exponent and finding the cube root, covering key mathematical concepts such as exponents and roots. Suitable for students in Grades 7-9.

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