Final answer:
To write [(-4)x(-5)]⁵ as a product of powers, first multiply (-4) and (-5) to get 20, then raise 20 to the power of 5.
Step-by-step explanation:
To express [(−4)×(−5)]5[(−4)×(−5)]⁵ as a product of powers, start by simplifying the expression within the parentheses:
(−4)×(−5)=20. Then, raise 20 to the power of 5(20⁵ ). This simplification follows the fundamental rule that multiplying two negative numbers results in a positive number. Consequently, [(−4)×(−5)]⁵ simplifies to 20⁵.Thus, the final expression, 20⁵ , represents the original expression as a product of powers. The stepwise approach involves multiplying the numbers enclosed in parentheses and then exponentiating the result, providing the expression in the desired format.