It seems like you are trying to check if $\left(\frac{2}{3}\right)^2$ equals 2. Let's go through the steps.

First, calculate $\left(\frac{2}{3}\right)^2$:

$\left(\frac{2}{3}\right)^2 = \frac{2}{3} \times \frac{2}{3} = \frac{2 \times 2}{3 \times 3} = \frac{4}{9}$

So, $\left(\frac{2}{3}\right)^2 = \frac{4}{9}$, which is not equal to 2.

Answer: No, $\left(\frac{2}{3}\right)^2$ is not equal to 2.

Would you like further explanation or details?

Here are some related questions:

1. How do you simplify powers of fractions?
2. How would you express $\left(\frac{2}{3}\right)^3$?
3. What does squaring a fraction represent in terms of area or scaling?
4. Can the square of any fraction be greater than the original number?
5. How do negative fractions behave when squared?

Tip: When squaring a fraction, remember to square both the numerator and the denominator separately.