# How do you simplify #(4xy^2)^4(2y)^-3#?

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To simplify (4xy^2)^4(2y)^-3, first expand each term raised to the respective power, then simplify by combining like terms:

(4xy^2)^4 = 4^4 * x^4 * (y^2)^4 = 256x^4y^8

(2y)^-3 = (2^-3) * (y)^-3 = (1/8)y^-3 = y^-3/8

So, the expression becomes:

256x^4y^8 * y^-3/8 = 256x^4y^(8-3/8) = 256x^4y^(64/8 - 3/8) = 256x^4y^(61/8)

Therefore, the simplified expression is 256x^4y^(61/8).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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