8.7/8.8 DIVISION AND

MORE MULTIPLI

CATION

PROPERTI

ES OF

EXPONENTS

A L G E B RA 1 C

P

O B J EC T I V

E : US E T

W O MO R E

M U LT I PL I C

AT I ON P

R O P E RT I ES A

N D

A P P LY DI V

I SI O

N PR O P E RT Y O

F

E X P O N E N T S .

WARM UP

Complete each statement

RAISING A POWER TO A POWER

For any nonzero number a and any integers m and n,

(am)n = amn

Ex: (54)2

SIMPLIFY EACH EXPRESSION

a. (x3)6 b. c5(c3)2

c. (a4)2 (a2)5

RAISING A PRODUCT TO A POWER

For any nonzero numbers a and b and any integer n,

(ab)n = anbn

Ex: (3x)4

SIMPLIFY EACH EXPRESSION

a. (2x2)4 b. (x-

2)2(3xy2)4

DIVIDING POWERS WITH THE SAME BASE

For any nonzero number a and any integers m and n,

Ex:

SIMPLIFY EACH EXPRESSION.

a. b.

RAISING A QUOTIENT TO A POWER

For any nonzero numbers a and b, and any integer n,

Ex:

SIMPLIFY EACH EXPRESSION

a. b.

NOTEBOOK QUIZ!!

Simplify

1. (4g5)2 2. c4c6

3. 4.

HOMEWORK

P. 398 #2-20 evenP. 403 #1-12 even