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,

am = am – n .an

– Example 37 = 37 – 3 = 34 .

33

Simplifying an Algebraic Expression• Simplify each expression.

a. b.6

14

aa

6 14a 8a

8

1a

1 3

5 4

c dc d

1 5 3 ( 4)c d 6 7c d7

6

dc

Raising a Quotient to a Power

• For every nonzero number a and b and integer n,

• Examples:

n n

n

a ab b

3 3

3

4 4 645 5 125

Raising a Quotient to a Power• Simplify 3

2

4x

3

2

4x

3

2 3

4( )x

3

6

4x

6

64x

Simplifying an Exponential Expression• Simplify each expression.a.

b.

235

253

2

2

53

259

729

42xy

4

2yx

4

2yx

4

4

( )(2 )yx

4

416yx

More Practice!!!!

• Textbook – p. 420 #2 – 12 even, 22 – 36 even.

• Homework – Finish textbook problems.