Final answer:
The expression [(-4) x (-5)]⁵ is correctly written as (-4)⁵ x (-5)⁵, as per the multiplication rules for negative numbers and exponentiation, which corresponds to option C.
Step-by-step explanation:
The expression [(-4) x (-5)]⁵ can be represented as a product of powers. When two negative numbers are multiplied, the result is positive according to multiplication rules. Therefore, (-4) multiplied by (-5) gives us 20. Now raising this to the power of 5 means multiplying 20 by itself 5 times, which is the same as raising 4 to the power of 5 and 5 to the power of 5 separately and then multiplying them because the base 20 is a product of 4 and 5. Thus,
(-4) x (-5) = 4 x 5 = 20
and
20⁵ = (4⁵) x (5⁵).
Therefore, the correct answer is (-4)⁵ x (-5)⁵, which corresponds to option C.