10.2 Real Exponents

Real Exponents

n m n mb b b

Real #: rational & irrational #s

nn m

m

bb

b

Recall:

1,4, 2,2

mn n mb b

Real Exponents—Get same base 1st

2

2

6

6

2 ( 2 )6 2 26 236

3 24 2 2 3 2(2 ) 2 2 3 22 32 8

22 23 2 2 23 2 23 43 81

TOO

3 9

2

2

3

3 (3 )

3

3 27

Solving Exponential Equations

18

4x

n mb b n m Same base25 5x 2x

Write as same base

32

1(2 )

2x 3 22 2x

3 2x 2

3x

exp:

TOO

24 64x x

Homework

#1002 Pg. 461 1 – 31 odd

& Graph 1&

3

x

y

3xy