Dividing Monomials

1
Dividing Monomials

• Honors Math Grade 8

2
Quotient of Powers
Definition of Power
Look for a pattern in the exponents.
Cancel common factors.
5 factors
What is the pattern?
3 factors
3
Simplify
Group powers that have the same base.
Quotient of Powers
Simplify
A variable with no exponent indicated can be
written as a power of 1.
4
Simplify
Group powers that have the same base.
Quotient of Powers
Simplify
5
Power of a Quotient
Look for a pattern in the exponents.
Definition of Power
Multiply
3 factors
What is the pattern?
3 factors
6
Simplify
Power of a Quotient
Power of a Product
Power of a Power
7
Simplify
Power of a Quotient
Power of a Product
Power of a Power
8
The Zero Exponent
Simplify
Definition of Power
Cancel common factors.
Method 2
Method 1
Quotient of Powers
9
Simplify
Definition of Zero Exponent.
Recall that anything to the zero power is equal
to 1
Even an entire expression raised to the zero
power equals 1!
10
Simplify
Zero Exponent
Group powers that have the same base.
Quotient of Powers
11
Negative Exponents
Simplify
Definition of Power
Cancel common factors.
Method 2
Method 1
Quotient of Powers
12
Simplify
Write as a product of fractions.
Negative Exponents Definition
Multiply Fractions
13
Simplify
Write as a product of fractions.
Quotient of Powers and Negative Exponent
Definition
Simplify
Negative Exponent and Zero Exponent Definitions
Multiply
14
Simplify
Write as a product of fractions.
Quotient of Powers
Simplify
Negative Exponent Definition
Multiply