Name: Date: Period: Topic: Multiplication & Division Properties of Exponents Essential Question: How can you use the multiplication and/or division properties.

Name: Date:Period:Topic: Multiplication & Division Properties of ExponentsEssential Question: How can you use the multiplication and/or division properties of exponents to simplify problems?

Warm-Up:Mix-Review

Explain how do you determine if a problem

is a function, provide an example.

I should use my notesto refresh my memory!

Home-Learning review #7

Quick Review:(Lets Keep it Under a Minute)!

Location of Exponent

• An exponent is a little number high and to the right of a regular or base number.

3 4Base

Exponent

Definition of Exponent

• An exponent tells how many times a number is multiplied by itself.

3 4Base

Exponent

What an Exponent Represents

• An exponent tells how many times a number is multiplied by itself.

34= 3 x 3 x 3 x 3

How to read an Exponent

• This exponent is read three to the fourth power.

3 4Base

Exponent

P ro d u c t o f p o w ers p ro p erty : a a am n m n

P o w er o f a p o w er p ro p erty : a am n m n

P o w er o f a p ro d u c t p ro p erty : a b a bm m m

Words Numbers Algebra

To multiply powers with the

same base, keep the base and add the exponents.

bm • bn = bm + n

35 • 38 = 35 + 8 = 313

MULTIPLYING POWERS WITH THE SAME BASE

1. 66 • 63

2. n5 • n7

3. 25 • 2

4. 244 • 244

5. 42 • 44

6. x2 • x3

7. x5 • y2

8. 412 • 417

Together! Alone!

15

5•3

53

4

4

)4(

NOTE:

Multiply the exponents, not add them!

Words Numbers Algebra

To multiply power of a

power, keep the base and

multiply the exponents.

Multiplying Power of a Power

(pr)s =

pr • s

Together! Alone!

1. (x2)3

2. (55)2

3. (y4)2

4. (3)6

1.) b2 • b7

2.) (p3)4

3.) (a2)3 • a3

4.) x2 • (xy)2

5.) (4m)2 • m3

6.) (3a)3

•(2p)2

7.) w3 • (3w)4

8.) p-2

9.)(a2b)0

10.)(x-2y3)-2 Pair- Practice!

1.) b2 • b7 1.) b9 2.) (p3)4 2.) p12 3.) (a2)3 • a3 3.) a9

4.) x2 • (xy)2 4.) x4y2 5.) (4m)2 • m3 5.) 16m5

6.) (3a)3 • (2p)2 6.) 108a3p2 7.) w3 • (3w)4 7.) 81w7 8.) p-2 8.) 1/p2 9.)(a2b)0 9.) 1 10.)(x-2y3)-2 10.) x4/y6

ANSWERS

Multiplying Polynomials:

In multiplying polynomials, you have to multiply the

coefficients and add up the exponents of the variables

with the same base.

Ex:

35

3

2

5

32

232

20

•

•

20

5•4

45

yx

y

yy

x

xx

yxyx

Please simplify the following equations:

)3)(4( 3224 yxyx

Answer: 5612 yx

How?:

56

5

32

6

24

12

•

•

12

3•4

yx

y

yy

x

xx

Additional Practice:

Page 429 - 431 (8, 9, 16, 47, 49, 73)

Page 436 - 437 (20, 47)

Division Properties of Exponents

Simplify

Finding Quotients of Powers

A.

B.

Together Alone

C.

D.

A.

B.

C.

D.

Simplify.

Finding Positive Powers of Quotient

A.

B.

Together Alone

C.

A.

B.

C.

Remember that What if x is a fraction?

Simplify.

Finding Negative Powers of Quotients

A.

B.

Together Alone

C.

A.

B.

C.

Additional Practice:

Page 443 - 445 (8, 11, 13, 37, 42, 49, 50, 60)

Home-Learning Assignment #8:

Page 429 - 431 (25, 48, 50, 72)Page 437 – 438 (48, 78)

Page 443 - 445 (14, 16, 43, 70)