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Quotient Rule
Reference
> Algebra: Exponents
Description
The Quotient Rule states that:
x
a
x
b
=
x
a
−
b
\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}
x
b
x
a
=
x
a
−
b
Examples
x
8
x
5
\frac{{x}^{8}}{{x}^{5}}
x
5
x
8
1
Use
Quotient Rule
:
x
a
x
b
=
x
a
−
b
\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}
x
b
x
a
=
x
a
−
b
.
x
8
−
5
{x}^{8-5}
x
8
−
5
2
Simplify
8
−
5
8-5
8
−
5
to
3
3
3
.
x
3
{x}^{3}
x
3
Done
x^3
English
Quotient Rule