today in algebra… warm up: simplifying powers learning target: 8.2 you will use properties of...
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TODAY IN ALGEBRA…
Warm Up: Simplifying Powers
Learning Target: 8.2 You will use properties of exponents involving quotients
Independent Practice/Test Corrections!
HW#1 Due Today
WARM UP: Simplify the expression.
Distribute the exponents
Multiply exponents
Add exponents with same bases
Evaluate coefficient
8.2 QUOTIENTS OF EXPONENTS
EXPONENT PROPERTIES USING QUOTIENTS
QUOTIENT OF POWERS POWER OF A QUOTIENT
𝑎𝑚
𝑎𝑛
EXAMPLE:
¿𝑎𝑚−𝑛,𝑎≠0
¿56−3 ¿53
8.2 QUOTIENTS OF EXPONENTSPRACTICE: Simplify the expression.
1. 2.
3. 4.
5. 6.
¿𝟓𝟓 ¿ 𝒙𝟐
¿ 𝒚
8.2 QUOTIENTS OF EXPONENTS
EXPONENT PROPERTIES USING QUOTIENTS
QUOTIENT OF POWERS POWER OF A QUOTIENT
𝑎𝑚
𝑎𝑛
EXAMPLE:
¿𝑎𝑚−𝑛,𝑎≠0
¿56−3 ¿53
(𝑎𝑏 )𝑚
¿ 𝑎𝑚
𝑏𝑚,𝑏≠0
EXAMPLE:
¿ 34
84
8.2 QUOTIENTS OF EXPONENTS
PRACTICE: Simplify the expression.
1. 2.
3. 4.
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply exponents
Evaluate coefficient
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply exponents
Evaluate coefficient
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply exponents
Evaluate coefficient
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply the fraction
Multiply exponents
Subtract the exponents
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply the fraction
Multiply exponents
Subtract the exponents
8.2 QUOTIENTS OF EXPONENTSEXAMPLE USING ALL PROPERTIES OF EXPONENTS: Simplify the expression.
Distribute the exponents
Multiply the fraction
Subtract the exponents
Evaluate coefficients
Simplify
HOMEWORK #2:
Pg. 498: 4-44 even
If finished, work on other assignments:
HW #1: Pg. 492: 4-48 even