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

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

Chapter6ExponentialFunctionsandSequences

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

NegativeExponents4!! = 8!! =

Example2:SimplifyinganExpression

Simplifytheexpression!!!!!!

Tryonyourown!

Simplifytheexpression!!!!!!!!

UsingthepropertiesofexponentsExample3:UsingpropertiesofexponentsSimplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS

a. 3! ∙ 3!

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

c. (3!)!!

Tryonyourown:KeyNotes!!!Example4:Simplifyeachexpression.WriteyouranswerusingonlyPOSITIVEEXPONENTS

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