x’s on the Bottom of a Fraction

Original

Rewrite

$\frac{a}{x^{\mathit{power}}}$

The ‘ a ’ on top is any number.

$a{\bullet x}^{–\mathit{power}}$

Bring the x up from the bottom of the fraction to the top of the fraction and make the power negative.

$\frac{5}{x^3}$

$5\bullet x^{–3}$

$\frac{7}{{8x}^5}$

The number, 8, is not attached to the x , it is a part of the fraction.

$\frac{7}{8}\bullet x^{–5}$

This example applies both the radical rewrite, and the x’s on the bottom of a fractionrewrite.

$\frac{2}{7 \sqrt[5]{x^3}}$

First, do the radical rewrite:

$\frac{2}{{7x}^{\frac{3}{5}}}$

Then, do the x’s on the bottom of a fractionrewrite:

$\frac{2}{7}\bullet x^{–\frac{3}{5}}$