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