-√(16y^4) if y<0

Question

`-√(16y^4)` if y<0

Answer 1

-4y²

Explanation:

You want to simplify the expression -√(16y⁴), given that y < 0.

Square root

The square root can be simplified by removing squares from under the radical.

`-√(16y^4)=-√((4y^2)^2)=\boxed{-4y^2}`

The sign of y is irrelevant.

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