# How do you simplify #-\frac { 28x y ^ { 0} z ^ { 4} } { 14x ^ { 7} y ^ { 5} z ^ { 4} }#?

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To simplify the expression (-\frac{28xy^0z^4}{14x^7y^5z^4}), first simplify the coefficients, then combine the variables with the same base and subtract their exponents.

(-\frac{28xy^0z^4}{14x^7y^5z^4} = -\frac{28}{14} \times \frac{x}{x^7} \times \frac{y^0}{y^5} \times \frac{z^4}{z^4})

(-\frac{28}{14} = -2)

(\frac{x}{x^7} = x^{1-7} = x^{-6})

(\frac{y^0}{y^5} = y^{0-5} = y^{-5})

(\frac{z^4}{z^4} = z^{4-4} = z^0 = 1)

Putting these together, we get:

(-\frac{28xy^0z^4}{14x^7y^5z^4} = -2x^{-6}y^{-5}1 = -2 \times \frac{1}{x^6y^5} = \boxed{-\frac{2}{x^6y^5}})

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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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