Bell Work 3/11/2015

Define the following:

1.Power of a Power Property

2.Product of Powers Property

3.Power of a Product Property

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Multiplication Properties of Exponents (separate)

04/18/23

Heading

Simplify simple expressions using the multiplication properties of exponents.

Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.

7.3A

Notes• Product of Powers Property

m n m na a a

Ex.3 22 23 22

32

This makes sense!

3 22 2 2 2 2 2 2

52

How many 2’s do we have?

Ex.2 4x x2 4x 6x

This makes sense!

2 4x x x x x x x x

6x

How many x’s do we have?

5232

NotesSimplify.

Ex.6 3x x6 3x 9x

Now you try.

Ex.8z z8 1z 9z

1

Ex.5 6t t5 6t 11t

Ex.5r r

1 5r 6r

1

Ex.3 4 8p p p

3 4 8p 15p

Ex.2 5 6x x x x 2 5 1 6x 14x

1

Ex.4 75 2x x

4 75 2 x 1110x

Ex.2 67 3y y

2 67 3 y 821y

Notes• Power of a Power Property

nm m na a

Ex. 232

3 22

64

This makes sense!

232

22 2 2

62

How many 2’s do we have?

Ex. 42x

2 4x

8x

This makes sense!

42x 4x x

8x

How many x’s do we have?

2 2 2 2 2 2

x x x x x x x x

62

64

NotesSimplify.

Ex.

72x2 7x

14x

Now you try.

Ex. 2

71 27

49

1

Ex.

54y4 5y

20y

Ex.

232

27

3 22

64

62

Ex.

2 52 23 x2 2 2 53 x

1081x

Ex.

9 43 7x y3 9 7 4x y

27 28x y

4 103 x

Ex.

23x

3 2x

6

1

x

Ex.

054

6x

5 04

1

04

Notes• Power of a Product Property

m m ma b a b

Ex. 23x

23

29x

2x

Simplify.

This makes sense!

23x 3 3x x

29x

How many 3x’s do we have?

3 3 x x

NotesSimplify.

Ex. 7xy

7x7 7x y

7y

Now you try.

Ex.

43xy

43

4 481x y 4x 4

y

Ex.

32rs

32

3 38r s

3r 3

s

Ex.

27ab

27

2 249a b

2a 2

b

Ex.

5ab

5a

5 5

1

a b

5b

Ex.

23x

23

2

1

9x

2x

2 2

1

3 x

Summary

If you are multiplying terms with exponents that have the same base, just ____ the exponents. If you take a power to a power, just ________ the two exponents. If the exponent is on the outside of the parenthesis just “_______” the power to every term being multiplied together.

addmultiply

distribute

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 7.3ASimplify.

2 51. x x 2 32. 2 2 4 73. y y y

3 24. 4 5y y 735. x

4 63 58. x y

626. y

087. b 29. 5y

410. 3x 5

11. 2yz

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

Simplify. 5 4x x 45x 5

xy