Division Distributive Property

Reference > Algebra: Exponents

Description

The Division Distributive Property states that:

\({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\)
Examples
\[{(\frac{x}{5})}^{2}\]
1
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\)
\[\frac{{x}^{2}}{{5}^{2}}\]

2
Simplify \({5}^{2}\) to \(25\)
\[\frac{{x}^{2}}{25}\]

Done