AA 5.1 Notes
Property
Using Properties of Exponents
Definition
Example
Product of Powers
𝑎𝑚 ∙ 𝑎𝑛 = 𝑎𝑚+𝑛
Power of a Power
(𝑎𝑚 )𝑛 = 𝑎𝑚𝑛
Power of a Product
(𝑎𝑏)𝑚 = 𝑎𝑚 𝑏 𝑚
Negative Exponent
Zero Exponent
𝑎−𝑚 =
1
, 𝑎≠0
𝑎𝑚
𝑎0 = 1, 𝑎 ≠ 0
Quotient of Powers
𝑎𝑚
= 𝑎𝑚−𝑛 , 𝑎 ≠ 0
𝑎𝑛
Power of a Quotient
𝑎 𝑚 𝑎𝑚
( ) = 𝑚, 𝑏 ≠ 0
𝑏
𝑏
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