Question

Reduce the fraction to lowest terms.

Answer 1

Do you know where to start?

Answer 2

split ~\[x^3/x^4 - x^2/x^4\]

Answer 3

And from there you just use your exponent rules to divide each fraction and simplify the result.

Answer 4

Yup.
\[\frac{x^{3} - x^{2}}{x^{4}} = \frac{x^{3}}{x^{4}} - \frac{x^{2}}{x^{4}} = x^{3 - 4} - x^{2 - 4} = ?\]

Answer 5

dont u have to divide both numerator and denominator by the GCF?

Answer 6

You can practically get the same result. This is what happens if you finish what I did.
\[x^{-x} - x^{-2} = \frac{1}{x} - \frac{1}{x^{2}} = \frac{x - 1}{x^{2}}\]Here's what would happen if you factored out the GCF and then simplified.
\[\frac{x^{3} - x^{2}}{x^{4}} = \frac{x^{2}(x - 1)}{x^{4}} = \frac{x - 1}{x^{2}}\]See? It's the same outcome.

Answer 7

thanks :)

Answer 8

np :)