PROPERTIES OF EXPONENTS

PRODUCT OF POWERS PROPERTY

𝑥𝑚 ⋅ 𝑥𝑛

SIMPLIFY

POWER OF A PRODUCT PROPERTY

𝑥𝑛 ⋅ 𝑦𝑛

SIMPLIFY

QUOTIENT OF POWERS PROPERTY

𝑥𝑚

𝑥𝑛

SIMPLIFY

POWER OF A QUOTIENT PROPERTY

𝑥𝑚

𝑦𝑚

SIMPLIFY

POWER OF A POWER PROPERTY

(𝑥 𝑦 )𝑧

SIMPLIFY

ZERO EXPONENT PROPERTY

𝑥0=1

ZERO EXPONENT PROPERTY

NEGATIVE EXPONENT PROPERTY

𝑥−𝑛=1

𝑥𝑛

SIMPLIFY

PROPERTIES COMBINEDSIMPLIFY

EXAMPLE 1:

(𝑥−2𝑥− 3 )4

SIMPLIFYEXAMPLE 2:

(𝑥−3 𝑦− 2 ∙ 𝑥− 1𝑦 −3 )3

SIMPLIFYEXAMPLE 3:

(𝑥4 )−3 ∙2𝑥4

SIMPLIFYEXAMPLE 4:

(𝑢2𝑣3 )−2 ∙3𝑢3𝑣4

SIMPLIFYEXAMPLE 5:

(2𝑣 )2 ∙2𝑣2

SIMPLIFYEXAMPLE 6:

(2𝑎𝑏 )3 ∙2𝑎2𝑏5

SIMPLIFYEXAMPLE 7:

𝑥3 𝑦3 ∙𝑥3

4 𝑥2

SIMPLIFYEXAMPLE 8:

8𝑠3 𝑡3 ∙𝑠2𝑡 5

4 𝑠2 𝑡3

SIMPLIFYEXAMPLE 9:

𝑥

(2 𝑥0 )2

SIMPLIFYEXAMPLE 10:

HOMEWORK

WORKSHEET #17