today in algebra 2.0… review new syllabus student agreement form learning goal: 5.1 you will...

TODAY IN ALGEBRA 2.0…

Review new SYLLABUSStudent Agreement Form

Learning Goal: 5.1 You will use properties of exponents to simplify exponents

Independent Practice

5.1 PROPERTIES OF EXPONENTS

PROPERTY NAME DEFINITION EXAMPLE

PRODUCT OF POWERS

POWER OF A POWER

POWER OF A PRODUCT

𝑥𝑚∙𝑥𝑛¿ 𝑥𝑚+𝑛

(𝑥𝑚)𝑛 ¿ 𝑥𝑚𝑛

(𝑥𝑦 )𝑚¿ 𝑥𝑚 𝑦𝑚

53∙5−1 ¿53+(−1) ¿52

(33 )2¿33 ∙2¿36

(2 𝑦 )𝑚¿2𝑚 𝑦𝑚

ZERO EXPONENT 𝑥0¿1 𝑥≠0 (−89)0¿1

5.1 PROPERTIES OF EXPONENTSEXAMPLES: Simplify the following expressions.

1. 2.

3. 4.

5. 6.

¿𝟒𝟔

¿ (−𝟒)𝟐 ∙𝟐𝟏𝟎

¿ (−𝟖)𝟒1

¿𝟐𝟏𝟎𝒚 𝟏𝟓

5.1 PROPERTIES OF EXPONENTSEXAMPLES: Simplify the following expressions.

7. 8.

9.

10.

IN CLASS WORK #1:

#1 Products and Powers WS

5.1 PROPERTIES OF EXPONENTS

PROPERTY NAME DEFINITION EXAMPLE

PRODUCT OF POWERS

POWER OF A POWER

POWER OF A PRODUCT

𝑥𝑚∙𝑥𝑛¿ 𝑥𝑚+𝑛

(𝑥𝑚)𝑛 ¿ 𝑥𝑚𝑛

(𝑥𝑦 )𝑚¿ 𝑥𝑚 𝑦𝑚

53∙5−1 ¿53+(−1) ¿52

(33 )2¿33 ∙2¿36

(2 𝑦 )𝑚¿2𝑚 𝑦𝑚

ZERO EXPONENT 𝑥0¿1 𝑥≠0 (−89)0¿1

NEGATIVE EXPONENT 𝑥−𝑚 𝑥≠0 7−2

QUOTIENT OF POWERS

POWER OF A QUOTIENT

¿ 𝑥𝑚−𝑛 𝑥≠0

𝑥≠0

¿6−3−(−6 )¿63

5.1 PROPERTIES OF EXPONENTSEXAMPLES: Simplify the following expressions.

1. 2.

3. 4. 5.

¿−𝟑𝒓 −𝟖 ¿ (−𝟐)𝟐𝒓 −𝟒

5.1 PROPERTIES OF EXPONENTSEXAMPLES: Simplify the following expressions.

1. 2.

5.1 PROPERTIES OF EXPONENTSEXAMPLES: Simplify the following expressions.

3. 4.

IN CLASS WORK #2:

Quotients and Powers WS

Previous Assignments:#1: Products and Powers WS