Express the polar coordinates $\left(2,-\frac{\pi}{3}\right)$ in Cartesian coordinates. What is the point in rectangular coordinates? (Type an ordered pair. Type exact answers for each coordinate, using radicals as needed.)

Step 1 ：Given the polar coordinates \((2,-\frac{\pi}{3})\)

Step 2 ：We can convert these to Cartesian coordinates using the formulas \(x = r\cos(\theta)\) and \(y = r\sin(\theta)\)

Step 3 ：Substitute \(r = 2\) and \(\theta = -\frac{\pi}{3}\) into the formulas

Step 4 ：For x-coordinate, calculate \(x = 2\cos(-\frac{\pi}{3}) = 1\)

Step 5 ：For y-coordinate, calculate \(y = 2\sin(-\frac{\pi}{3}) = -\sqrt{3}\)

Step 6 ：Final Answer: The Cartesian coordinates of the point are \(\boxed{(1, -\sqrt{3})}\)