# Quotient rule of exponents

### Quotient rule of exponents

Quotient rule simply states that as long as the base is the same, we can just divide two powers by subtracting the exponents. This is a shortcut to simplify exponents.

#### Lessons

$\frac{a^m}{b^n}$= ${ a^{m-n}}$

• Introduction
What are exponent rules?

• 1.
Simplify the following:
a)
$\frac{a^9}{a^5}$

b)
$\frac{x^{11}y^6z^3}{x^3y^2z^2}$