Final answer:
When subtracting (-4x¹) - (-6x⁻⁵), the correct operation results in -4x + 6x⁻⁵, as the terms cannot be combined into a single term due to different exponents.
Step-by-step explanation:
The question asks us to subtract two algebraic expressions: (-4x¹) and (-6x⁻⁵).
To subtract the expressions, we should change the sign of the second expression and add it to the first. However, in this case, both terms have different exponents, and cannot be combined directly as like terms. Therefore, the subtraction here simply removes the negative sign from the second term, due to the double negative becoming a positive.
The subtraction of the expressions is written as (-4x¹) + (6x⁻⁵) which results in two separate terms since their exponents are different. There is no need to add exponents or change the form of any numbers in this subtraction. The answer is -4x + 6x⁻⁵, which does not correspond to any of the provided multiple-choice options.