# How do you simplify #\frac { 8c d ^ { 4} } { 2c d ^ { 8} \cdot c d \cdot c ^ { 6} d }#?

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To simplify ( \frac{8cd^4}{2cd^8 \cdot cd \cdot c^6d} ), first, combine like terms in the denominator. Then, divide the numerator by the denominator.

[ \frac{8cd^4}{2cd^8 \cdot cd \cdot c^6d} = \frac{8cd^4}{2c^2d^{10} \cdot c^6} ]

Next, simplify the denominator by adding the exponents with the same base.

[ \frac{8cd^4}{2c^2d^{10} \cdot c^6} = \frac{8cd^4}{2c^8d^{10}} ]

Now, divide each term in the numerator by (2c^8d^{10}).

[ \frac{8cd^4}{2c^8d^{10}} = \frac{4}{c^7d^6} ]

So, ( \frac{8cd^4}{2cd^8 \cdot cd \cdot c^6d} ) simplifies to ( \frac{4}{c^7d^6} ).

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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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