Final answer:
To write (-4)x(-5)^5 as a product of powers, start by breaking down -4 and -5^5 as separate powers, and then combine them.
Step-by-step explanation:
To write (-4)x(-5)^5 as a product of powers, we can break it down step by step:
- The expression (-4) can be written as (-1) x 4 or (-1)^1 x 4^1. This is because any number raised to the power of 1 is the number itself.
- Next, we raise (-5) to the power of 5. This gives us (-5)^5.
- Finally, we combine the two expressions: (-1)^1 x 4^1 x (-5)^5.
This is the product of powers representation of (-4)x(-5)^5.