Transcript Day Problems • Simplify each expression. 1. (c5)2 2. (t2)-2 (t2)-5 3. (2xy)3•x2 4. (2p6)0

Day Problems
• Simplify each expression.
1. (c5)2
2. (t2)-2 (t2)-5
3. (2xy)3•x2
4. (2p6)0
8.5 Division Properties of Exponents
• Dividing Powers with the Same Base.
– For every nonzero number a and integers m and n,
a m = am – n .
an
– Example
37 = 3 7 – 3 = 3 4 .
33
Simplifying an Algebraic Expression
• Simplify each expression.
6
a.
a
614

a
14
a
8
a
1
 8
a
1
3
c d
b.
5 4
cd
c
15
6
c d
7
d
 6
c
d
7
3( 4)
Raising a Quotient to a Power
• For every nonzero number a and b and integer
n
n
n,
a
a
   n
b
b
• Examples:
3
 4  4 64
   3
 5  5 125
3
Raising a Quotient to a Power
• Simplify
 4
 2
x 
3
3
3
4
 4 
 2 
2 3
(x )
x 
3
4
 6
x
64
 6
x
Simplifying an Exponential Expression
• Simplify each expression.
2
2
2
a.  3 
5
5
   2
 
 5
3
 3
4
7
25
2

9
9
4


2
x
y 
y
b.
(

y
)




  y   
 

4
2
x

  2x  

(2 x )
4
4
4
y

4
16 x
More Practice!!!!
• Textbook – p. 420 #2 – 12 even, 22 – 36
even.
• Homework – Finish textbook problems.