Post on 23-Dec-2015
Do Now
Simplify each expression.
HW KEY
1)
2)
Multiplying and Dividing
Exponents-Part II
Power to power
First, we’ll multiply a power to a
power.
Property
Raising a power to a power – For every nonzero number a and integers m and n,
Examples
Example #1
Simplify.
63x 25y
Practice
Simplify.
74a 28b
Example #2
Simplify.
34 5n n 25 3c c
Practice
Simplify.
24 3t t 2 54 2a a
Second, we’ll raise a product to a
power.
Property
Raising a product to a power – For every nonzero number a and b and integer n,
( )n n nab a b
Example
4 4 4 43 3 81x x x
Example #3
Simplify.
322x
Practice
Simplify.
42z 233t
Third, we’ll divide a
power to a power.
Property
Raising a quotient to a power – For every nonzero number a and b and integer n,
n n
n
a a
b b
Example
3 3
3
4 4 64
5 5 125
Example #4
Simplify.
3
2
4
x
Practice
Simplify.
2
2
3
x
Example #5
Simplify each expression.
23
5
Example #6
Simplify.
23
4
r s
t
Practice
Simplify.
35 2x y
z
54 7
2 4
m n
m n
Mixed Practice
Simplify each of the following:
43d 2310w52
3
x
y
Homework
Worksheet