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