1. **State the problem:** Evaluate the expression $xy - x(x - y^{0})$ given $x = 2$ and $y = -\frac{1}{2}$. 2. **Recall the rule:** Any number raised to the power 0 is 1, so $y^{0} = 1$. 3. **Substitute $y^{0}$:** The expression becomes $xy - x(x - 1)$. 4. **Substitute the values of $x$ and $y$:** $$2 \times \left(-\frac{1}{2}\right) - 2 \times (2 - 1)$$ 5. **Calculate each part:** $$2 \times \left(-\frac{1}{2}\right) = -1$$ $$2 - 1 = 1$$ 6. **Substitute back:** $$-1 - 2 \times 1$$ 7. **Multiply:** $$-1 - 2 = -3$$ **Final answer:** $-3$