Section 8.1

Exponents are a short hand way to write multiplication

Examples:• 4·4 = 42

• 4·4·4 = 43

• 4·4·x·x·x= 42x3 = 16 x3

am·an = am+n

Examples:

(am)n = amn

Examples:

(ab)m = ambm

Examples:

When negative numbers are raised to an exponent, the following rules hold true:• If the exponent is odd- the answer is

negative• If the exponent is even- the answer is

positive Examples:

Pg 453 # 4-21 odd

1.) 2.) 4 2[(2 3) ]x 2 32 (3 )x x

3.) 4.)

5.)

3 4( )a2 3 64 (4 )a

4 2 4( 2 ) (3 )a a

PG 453 # 23- 45 odd

Pg 453 # 4-44 even