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To simplify the expression \( \left(-\frac{2}{3}\right)^2 \), we square both the numerator and the denominator:

1. Square the numerator: \((-2)^2 = 4\).
2. Square the denominator: \(3^2 = 9\).

So,
\[
\left(-\frac{2}{3}\right)^2 = \frac{4}{9}
\]

The simplified result is:
\[
\frac{4}{9}
\]

Would you like more details, or do you have any questions?

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Here are some related questions for further exploration:

1. What happens when you square a negative number in general?
2. How would you simplify \( \left(-\frac{3}{4}\right)^2 \)?
3. How does squaring a fraction compare to taking its absolute value?
4. What is the general rule for raising fractions to any power?
5. How does this result change if we cube the fraction instead of squaring?

**Tip:** When squaring a fraction with a negative sign, the result is always positive because squaring removes the negative sign.

Simplify \( \left(-\frac{2}{3}\right)^2 \)

Learn how to simplify the expression (-2/3)^2. This problem involves concepts in exponents and fractions, and demonstrates that squaring a negative fraction results in a positive fraction.

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