# How do you find the product of #(5c^3d)/(c^4d)*(f^2d^3c)/(10cf^4)#?

This is all one big term with number and variable factors.

Multiply the numerators and multiply the denominators by adding the indices of like bases to give one fraction:

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To find the product of the given expression, we can multiply the numerators and denominators separately.

First, multiply the numerators: (5c^3d) * (f^2d^3c) = 5c^3d * f^2d^3c = 5f^2c^4d^4.

Next, multiply the denominators: (c^4d) * (10cf^4) = c^4d * 10cf^4 = 10c^5d^2f^4.

Finally, divide the product of the numerators by the product of the denominators: (5f^2c^4d^4) / (10c^5d^2f^4) = (5/10) * (f^2/f^4) * (c^4/c^5) * (d^4/d^2) = 1/2 * 1/f^2 * 1/c * d^2.

Therefore, the simplified product of the given expression is (1/2) * (1/f^2) * (1/c) * d^2.

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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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