Simplify the quotient ^3-1/^3-4

To simplify the quotient \(\frac{{3-1}}{{3-4}}\), we need to evaluate the expression.

First, we simplify the numerator: \(3-1=2\).

Then, we simplify the denominator: \(3-4=-1\).

Now, our expression becomes \(\frac{2}{-1}\).

Finally, dividing 2 by -1 gives us the answer: \(-2\).

Therefore, \(\frac{{3-1}}{{3-4}} = -2\).