To solve \[ \left( \frac{-2}{3} \right) \times \left( \frac{-2}{3} \right) \times 2 \], follow these steps:

1. Multiply \(\frac{-2}{3} \times \frac{-2}{3}\):
   \[
   \frac{-2}{3} \times \frac{-2}{3} = \frac{(-2) \times (-2)}{3 \times 3} = \frac{4}{9}
   \]

2. Now, multiply the result by 2:
   \[
   \frac{4}{9} \times 2 = \frac{4 \times 2}{9} = \frac{8}{9}
   \]

So, \[
\left( \frac{-2}{3} \right) \times \left( \frac{-2}{3} \right) \times 2 = \frac{8}{9}
\]

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

Here are five related questions you might consider:
1. What happens when you multiply fractions with different signs?
2. How do you simplify complex fractions?
3. How do you distribute multiplication across a fraction?
4. How can you convert mixed numbers to improper fractions for multiplication?
5. How do you apply the laws of exponents when multiplying fractions?

**Tip:** When multiplying fractions, you can simplify first before multiplying to make the calculation easier.

Learn how to multiply fractions with negative numbers using the example (-2/3) * (-2/3) * 2. This step-by-step solution explains key mathematical concepts like fraction multiplication and handling negative numbers. Suitable for students in Grades 5-7.

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