1. **State the problem:** Simplify the expression $$-0.4^2 \times (-1.3) / 0.8 - 0.62$$. 2. **Recall order of operations:** Exponents first, then multiplication and division from left to right, and finally addition or subtraction. 3. **Calculate the exponent:** $$-0.4^2 = -(0.4^2) = -0.16$$ because the exponent applies only to 0.4, not the negative sign. 4. **Multiply:** $$-0.16 \times (-1.3) = 0.208$$ (negative times negative is positive). 5. **Divide:** $$\frac{0.208}{0.8} = 0.26$$. 6. **Subtract:** $$0.26 - 0.62 = -0.36$$. **Final answer:** $$-0.36$$