Bell Work
Write an example of each of the three
exponent rules we learned yesterday.
7.2 Division Properties of Exponents
Exponent Rule #4
When dividing two terms that have the
same base, subtract the exponents.
𝑎𝑚
𝑚−𝑝
=
𝑎
𝑎𝑝
Examples:
27
3
=
2
=8
4
2
𝑏7
3
=
𝑏
𝑏4
Practice: Simplify.
𝑥 3𝑦4
𝑥 2𝑦
Exponent Rule #5
When raising a quotient to a power, take
the numerator to that power and divide by
the denominator to that power.
𝑎 𝑚
𝑎𝑚
( ) = 𝑚
𝑏
𝑏
Examples:
3 4
( ) =
5
𝑟 5
( ) =
𝑡
34
54
𝑟5
𝑡5
Practice: Simplify.
2𝑦 2 2
( 3)
3𝑧
Exponent Rule #6
Any nonzero number raised to the zero
power is equal to 1.
a0 = 1
Examples:
140 = 1
𝑏 0
( )
𝑐
=1
Practice: Simplify
(3𝑥 2 𝑦 5 )0
4𝑥 2
Exponent Rule #7
Any number raised to a negative power is
the reciprocal of the number raised to the
positive value of that power.
a-n =
1
𝑎𝑛
Examples:
-4
2 =
1
24
1
3
=
𝑏
𝑏 −3
Practice:
𝑣 −3 𝑤𝑥 2
𝑤𝑦 −6
Homework:
7.2 (pg. 403) 21-42 multiples of 3