Rules of Exponents Product Rules A
Example:
Same Base, Different Power
23 ⋅ 24 = 23+4 = 128
Different Base, Same Power
32 ⋅ 42 = (3⋅4)2 = 144
Instructions: Simplify each expression by writing it in expanded form,
followed by standard form or as a single base to a single power
To complete this task, you must earn 10 or more stars 
The problems in this section of the task are worth one star.
a)
104 ⋅ 103
b) 52 ⋅42
c) 3 ⋅32
d)
23 ⋅13
e) 4-2 ⋅ 45
f) -62 ⋅ 32
The problems in this section of the task are worth two stars.
2
2
5
5
a) ( )-2 ⋅ ( )4
b) 2 ⋅22 ⋅ 22
c)
1
1
3
6
( )4 ⋅ ( )4
1
d) 32 ⋅ ( )2
2
The problems in this section of the task are worth three stars.
a) 2n4 ⋅5n4
b) 4x2 ⋅ 3x
Rules of Exponents Quotient Rules A
Example:
Example:
Same
SameBase,
Base,Different
DifferentPower
Power
5-3
235 / 243 = 23+4
=4
2 ⋅ 2 = 2 = 128
Different Base, Same Power
Different
Base, Same
Power
3
3
3
4 / 2 = (4/2) = 8
Instructions: Simplify each expression by writing it in expanded form,
followed by standard form or as a single base to a single power
To complete this task, you must earn 10 or more stars 
 The problems in this section of the task are worth one star.
a)
104 / 103
b) 52 / 42
c) 32 /3
d)
23 / 13
e) 45 / 42
f) -62 / 32
 The problems in this section of the task are worth two stars.
2
1
5
5
a)
( )4 / ( )1
d)
32 / ( )2
b) 26 / 22
1
1
3
6
c) ( )4 / ( )4
1
2
 The problems in this section of the task are worth three stars.
a)
2n4 / 5n4
b) 4x2 / 2x