Simplify. Express your answer using exponents. (4n^4p)^2 Submit it should end only with words

To simplify ((4n^4p)^2), follow these steps:

1. Apply the Power of a Product Rule: When raising a product to a power, you can raise each factor in the product to that power.

[

(4n^4p)^2 = 4^2 cdot (n^4)^2 cdot p^2

]

2. Calculate Each Component:

– (4^2 = 16)

– ((n^4)^2 = n^{4 cdot 2} = n^8)

– (p^2 = p^2)

3. Combine the Results:

[

16n^8p^2

]

So, the simplified expression is (16n^8p^2).

Feel free to ask if you have more questions or need further assistance!