4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015

Pick up PINK sheet off table

(g2­h3)2 ­ hg= 2h= ­3

Evaluate the following expression using order of operations PEMDAS

Powers of MonomialsChapter 3 Lesson 4

Warm­Up:One meter is 103 times longer than one millimeter. One kilometer is 106 times longer than one millimeter. How many times longer is one kilometer than one meter?

4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015

1.) Simplify using the Laws of Exponents Power of a Power

(64)5 = ( )( )( )( )( )

= 6 __ + ___ + ___ + ___ + ___

= 6___

2.) Simplify using the Laws of ExponentsPower of a Power

(84)3 = ( )( )( )

= 8 __ + ___ + ___

= 8___

Can we write a rule... If a power is raised toanother power...

4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015

3.) Simplify using the Laws of ExponentsPower of a Power

(k7)5 = ( )( )( )( )( )

= k__ . ___

= k___

4.) Got it? Now you try...

a.) (25)2 =

b.) (w4)6 =

c.) [(32)3]2 =

4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015

Power of a Product

(3a2)5 = ( )( )( )( )( )

3__ a__ __ = . .

5.)

Power of a Product

(4p3)4 = ( )( )( )( )

4__ p__ __ = . .Can we write a rule... To find the power of a product,

find the power of each factor, then multiply.(I will click here for definition)

6.)

4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015

Power of a Product

(­2m7n6)5 = ( )( )( )( )( )(­2)__ m__ __ n__ __ = . . .

c. (­5w2z8)3 =

a.) (8b9)2 =

b.) (6x5y11)4 =

Now you try...

7.)

Homework~Textbook

page 195 (1­14, 16)

4 Ch3 Lesson 4 Powers of Monomials.notebook September 14, 2015