# How do you simplify #(4x^-1)/(12x^2)#?

We have the following:

We can handle these expressions separately. The purple terms just simplify to

And we can rewrite the blue expressions as follows:

We have the same base on the top and bottom, so we can subtract the exponents. Thus, we have

Putting it all together, we get

as our final answer.

Hope this helps!

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To simplify (4x^-1)/(12x^2), you can follow these steps:

- Simplify the numerator: 4x^-1 becomes 4/x.
- Simplify the denominator: 12x^2 remains the same.
- Combine the simplified numerator and denominator: (4/x)/(12x^2).
- To divide by a fraction, multiply by its reciprocal: (4/x) * (1/(12x^2)).
- Multiply the numerators: 4 * 1 = 4.
- Multiply the denominators: x * (12x^2) = 12x^3.
- Simplify the expression: 4/(12x^3).
- Reduce the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4: 4/4 = 1 and 12x^3/4 = 3x^3.
- The simplified expression is 1/(3x^3).

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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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