The expression \(\left(-\frac{4}{3}\right)^2\) simplifies as follows:

1. Square the numerator and denominator separately:
   \[
   \left(-\frac{4}{3}\right)^2 = \frac{(-4)^2}{3^2} = \frac{16}{9}
   \]

So, \(\left(-\frac{4}{3}\right)^2 = \frac{16}{9}\).

Would you like further details on the steps? 

Here are some related questions to explore:

1. What happens if the exponent were odd, such as \((-4/3)^3\)?
2. How would this expression change with a negative exponent?
3. How do we simplify square roots of fractions?
4. How would we solve \((a/b)^n\) in general?
5. How does squaring affect positive and negative numbers?

**Tip:** Remember, squaring any real number—positive or negative—results in a positive value.

Understand how to simplify (-4/3)^2 and express it as a fraction. This step-by-step solution covers exponent properties, negative numbers, and fraction operations, making it suitable for students in Grades 7-8.

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