EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Warm Up

1) 2) 3)

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Properties of Exponents(p. 86)

EQ: What are the properties of exponents and how can we simplify them?

Assessment: Students will explain the concept of base and power and how their properties interact.

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Key terms

• Base- the ________ number; ex: , ____ is the _______.

• Exponent- the ____________ number; ex: , ____ is the _________.

• Power- the ________ as an exponent; ex: , ____ is the _________.

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Properties

Given Expression Verbal Description Action to Simplify

# 1 ___ Multiply “like” bases _____ the exponents# 2

____Power to a power

(2 exponents)________ the exponents

# 3

____ Product to a power___________ the outside exponent to all ________ exponents

2323 xxx

2323 xx

23123 44 xx

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Simply:

Example 1:

Example 2:

Example 3:

47 gg

53 44

25x

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Simplify

• Example 4

• Example 5

• Example 6

358

432y

43xy

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

• Example 7

• Example 8

352 63 yxyx

243 52 yxxy

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Properties

Given Expression Verbal Description Action to Simplify

# 4____ Divide “like” bases

________ the exponents# 5

____ Quotient to a power___________ the outside exponent to all ________ exponents

373

7

xxx

4

5

14

5 yx

yx

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Examples9 12

10 13

11 14

3

12

aa

7

10

88

7

3

x

32

rb

3

3

25

36

yxyx

4

43

3

552

x

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Properties Given Expression

Verbal Description Action to Simplify

# 6 __ Any number to the “0” power _____________________

# 7

__ Negative exponentFlip (reciprocal) the _____ and its ________ (the ________ becomes ________)

0x

1x

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Examples15 18

16 19

17 20

45 x03

0245,37

23

7

24xx

64

3

32yxxy

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Explore Negative Exponents and 0

4 3 2 1 0 -1 -2 -3

2

3

4

Base

Exponent

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

• EQ: What are the properties of exponents and how can we simplify them?

• Assessment: Students will explain the concept of base and power and how their properties

interact.

EQ: What are the properties of exponents and how can we simplify them?Assessment: Students will explain the concept of base and power and how their properties interact.

Write a summary!