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6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some...

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Chapter 6 Exponential Functions and Sequences 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero Exponents: 4 ! = (2!) ! = 5 ! ! = Negative Exponents 4 !! = 8 !! = Example 2: Simplifying an Expression Simplify the expression !! ! ! !! Try on your own! Simplify the expression ! !! ! !! ! !
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Page 1: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero

Chapter6ExponentialFunctionsandSequences

6.1PropertiesofExponentsDoNow:Whataresomeimportantpropertiesofexponents?UsingZeroandNegativeExponentsExample1: ZeroExponents: 4! = (2!)! = 5! ! =

NegativeExponents4!! = 8!! =

Example2:SimplifyinganExpression

Simplifytheexpression!!!!!!

Tryonyourown!

Simplifytheexpression!!!!!!!!

Page 2: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero

UsingthepropertiesofexponentsExample3:UsingpropertiesofexponentsSimplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS

a. 3! ∙ 3!

b. (!!)!(!!)!

c. (3!)!!

Page 3: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero

Tryonyourown:KeyNotes!!!Example4:Simplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS

Page 4: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero

Example5:ManipulatingExpressionsWhichoftheexpressionsshownrepresentsthevolumeofthecylinder?Example6:Solvingreal-lifeproblems.Ajellyfishemitsabout1.25×10!particlesoflight,orphotons,in6.25×10!!seconds.Howmanyphotonsdoesthejellyfishemiteachsecond?Writeyouranswerinscientificnotationandinstandardform.Homework:5-31Odd,33,34,37-55Odd

Page 5: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero
Page 6: 6.1 Properties of Exponents · 06/01/2018  · 6.1 Properties of Exponents Do Now: What are some important properties of exponents? Using Zero and Negative Exponents Example1: Zero

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