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Division Distributive Property
Reference
> Algebra: Exponents
Description
The Division Distributive Property states that:
(
x
y
)
a
=
x
a
y
a
{(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}
(
y
x
)
a
=
y
a
x
a
Examples
(
x
5
)
2
{(\frac{x}{5})}^{2}
(
5
x
)
2
1
Use
Division Distributive Property
:
(
x
y
)
a
=
x
a
y
a
{(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}
(
y
x
)
a
=
y
a
x
a
.
x
2
5
2
\frac{{x}^{2}}{{5}^{2}}
5
2
x
2
2
Simplify
5
2
{5}^{2}
5
2
to
25
25
2
5
.
x
2
25
\frac{{x}^{2}}{25}
2
5
x
2
Done
x^2/25
English
Division Distributive Property