6.1 EXPONENT LAWS Many things in life can be modeled by

exponential relations

Relationship is not linear, but does follow a pattern (e.g. doubling every time, tripling every time)

4.1 EXPONENT LAWS CONT’D Something that keeps doubling would

look like: 2X

Something that keeps tripling would look like: 3X

What about something that keeps halving? e.g. a radioactive material that keeps losing

half its matter every half life:

RECALL EXPONENT LAWS – PT.1 Multiplying Powers of the same base:

22 x 23

BASE

EXPONENT When it’s the SAME BASE, add

exponents, keep base the same

EXPONENT LAWS CONT’D 22 x 23 = 22+3

= 25

= 2 x 2 x 2 x 2 x 2= 32

EXPONENT LAWS CONT’D – PT. 2

Dividing Powers of the same base:

26 23

When it’s the SAME BASE, subtract exponents, keep base the same

EXPONENT LAWS CONT’D 36 33 = 36-3

= 33

= 3 x 3 x 3 = 27

A quotient of powers can also be written like this:

EXPONENT LAWS CONT’D – PT. 3 Evaluating a Power of a Power

(23)2

When you raise one power to another power, multiply the exponents, keep base the same

EXPONENT LAWS CONT’D - PT. 3 (23)2

= 23x2

= 26

= 2 x 2 x 2 x 2 x 2 x 2 = 64

PRACTICE EXPONENT LAWS 1. 32 x 33

2. 24 x 2-2

3. 3-3 3-6

4. (40)5

5. (3-2)3

6. (4x2y-1)-2

7. a2b-5 a-1b4

8.

6.1 EXPONENT LAWS HOMEWORK p. 349 #1, 4 cd, 5, 9 cd, 10 bd, 12

bcdf,14