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