**Evaluate.**

\[\left(-\dfrac{4}3\right)^3 = \] 


To evaluate \(\left(-\dfrac{4}{3}\right)^3\), follow these steps:

1. **Cube the fraction:**
   \[
   \left(-\dfrac{4}{3}\right)^3 = \dfrac{(-4)^3}{3^3}
   \]

2. **Calculate the numerator and the denominator separately:**
   \[
   (-4)^3 = -64 \quad \text{and} \quad 3^3 = 27
   \]

3. **Combine the results:**
   \[
   \left(-\dfrac{4}{3}\right)^3 = \dfrac{-64}{27}
   \]

So, \(\left(-\dfrac{4}{3}\right)^3 = \dfrac{-64}{27}\).

Would you like more details or have any questions about this?

Here are five related questions:
1. What are the steps for cubing a fraction?
2. How do you cube a negative number?
3. Can \(\dfrac{-64}{27}\) be simplified further?
4. What is the difference between squaring and cubing a number?
5. How does the cube of a negative number compare to the cube of a positive number?

**Tip:** When cubing a fraction, remember to cube both the numerator and the denominator separately.

Learn how to evaluate the expression (-4/3)^3 with a detailed step-by-step calculation. This problem covers exponentiation, negative numbers, and fractional exponents, suitable for students in Grades 7-9.

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