Final answer:
The correct answer is option C) Distributive property. The property shown in the equation -96 = 2(1-5)⁻⁴ᵖ is the Distributive property.
Step-by-step explanation:
The correct answer is option C) Distributive property.
The equation -96 = 2(1-5)⁻⁴ᵖ represents the distributive property. The distributive property states that when a number is multiplied by a sum, you can distribute the multiplication to each term inside the parentheses.
In this equation, the number 2 is being multiplied by the expression (1-5)⁻⁴ᵖ, which involves subtraction and exponentiation. By applying the distributive property, you multiply 2 to each term inside the parentheses.
So, -96 = 2(1-5)⁻⁴ᵖ becomes -96 = 2(1)⁻⁴ᵖ - 2(5)⁻⁴ᵖ. Simplifying further, you get -96 = 2 - 32⁻⁴ᵖ.
Therefore, the property shown in the equation -96 = 2(1-5)⁻⁴ᵖ is the Distributive property.