Aim #2: What are the properties of
exponents?
(Unit 1 - Exponents and Scientific Notation)
HW #2: Properties of Exponents Handout
Do Now: Complete Aim #1 Handout.
9-8-16
Multiplication and Division of Expressions in
Exponential Form
Simplify each expression in exponential form.
Ex. #1: 23(24)
So.
2(2)(2)(2)(2)(2)(2)
...W
hat
's t
h
e sh
ort
cut
?
27
How do we multiply powers with the same base?
Rule: Keep the base, add the exponents
Ex. #2:
5(5)(5)(5)(5)(5)(5)(5)(5)
5(5)(5)
59
53
So.
...W
hat
's t
h
e sh
ort
cut
?
56
How do we divide powers with the same base?
Rule: Keep the base, subtract the exponents
7
Ex. #3:
3 x9
Ex. #4:
5
25
Ex. #5:
2 x8
10
5
2
Simplify each expression.
Ex. #6:
3
5
(2x )(9x )
Ex. #7:
12
-24n
3
3n
Raising a Power to a Power
Simplify the expression below in exponential form.
Ex. #8:
2 3
2
(7 )
2
2
(7 )(7 )(7 )
So....W
h
at's th
e shor
tcut ?
76
How do we determine the power of a power?
Rule: Keep the base, multiply the exponents
Simplify each expression.
Ex. #9:
(2x)
3
Find the power of
each factor.
4 2
Ex. #10:
(-3x )
Ex. #11:
( )
Ex. #12:
a
b
6
5
( )
-3
2
x
Find the power of
the numerator and
the denominator.