Let's solve the expression step by step:
-
Start with the expression: \[ \frac{2}{3} \times 6 - (6 - 4) \text{ by the power of } 3 \]
-
First, calculate the value of \( (6 - 4) \): \[ (6 - 4) = 2 \]
-
Now substitute this back into the expression: \[ \frac{2}{3} \times 6 - 2 \]
-
Next, perform the multiplication: \[ \frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4 \]
-
Now substitute this result back into the expression: \[ 4 - 2 \]
-
Finally, perform the subtraction: \[ 4 - 2 = 2 \]
So the final answer is: \[ \boxed{2} \]