PROPERTIES OF EXPONENTS
PRODUCT OF POWERS PROPERTY
𝑥𝑚 ⋅ 𝑥𝑛
POWER OF A PRODUCT PROPERTY
𝑥𝑛 ⋅ 𝑦𝑛
QUOTIENT OF POWERS PROPERTY
𝑥𝑚
𝑥𝑛
POWER OF A QUOTIENT PROPERTY
𝑥𝑚
𝑦𝑚
POWER OF A POWER PROPERTY
(𝑥 𝑦 )𝑧
ZERO EXPONENT PROPERTY
𝑥0=1
ZERO EXPONENT PROPERTY
NEGATIVE EXPONENT PROPERTY
𝑥−𝑛=1
𝑥𝑛
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